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"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAHcElEQVR4nO1b3ZWrvA7dZ9Y04FsCpwRPCU4JpASmBFMClAAlhBLsEuISQgm4BN0HIDFgk4SfM3xrzX7IChg2QrYlWRZ/CAdBGYmfFsGPc8FmWj/+mRxPUJqD6g/J2c60fv4zOeZRmuKnRQhBsJMKj8E/x5jCOp2R8ceR1+HePYYC7deF/7QMczglcajpGApMkf20CLOov26hCfKyAiux3xwzp6B8B8E3gpOYetxiSAqiYUm4cS3EzIOPgRtugZZHGBONzFBdu0d5VA6... | \frac { \operatorname * { d e t } \Delta _ { + } } { \operatorname * { d e t } ^ { \prime } \Delta _ { - } } = \exp \left( \sum _ { n } \omega _ { n } ^ { ( + ) } - \sum _ { n } \omega _ { n } ^ { ( - ) } \right) \ , |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAAAgCAAAAADvIPRJAAAF5ElEQVR4nO1a3XmjOhA9u18a0C1BW4K2BKUEbQlyCXIJuAQoAR5uAVAClAAloBLOfeDHwgaDTbI38efzshvNMDNnRkjDJD+Ij0JmvqKpz8fX5v3j4wr8nu804Csv9MRU5QeZnn1iTb4VTQMpH314L+8z7dCU931AO3Pwti+4HfAn1QgbrjTFKZ7qZE1mJACfuGjOxpp8K5rilD9c4PuwhTYAFEM8e3PAD4O+S7tVJRm5yVqN+sKUQ9n9m89bWZNvBh43cBfvm7RDU2e... | < \mathrm { m e s o n } | = < 0 , k | F _ { \nu _ { A } } F _ { \omega _ { A } } , \ \ < \mathrm { b a r y o n } | = < 0 , k | \psi F _ { \nu _ { A } } F _ { \omega _ { A } } |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAAAgCAAAAABGeP6YAAAEmklEQVR4nOVa7XGrMBDcZNyAUoJaUEpQSsAlkBLkEnAJdgmkBCgBSoASoIR7P5BAX5ZFhsxkXvZHZrjVLZvjJCSSF8KhmHvOj1X85Xg9WI99jAcr/nIcXcA/h79SwLn9oZnxcuQa2F4YWsEgqgNFD8JLI39E93SkGJcSbcHGn7H6O3FsASsA4i+V7+AC/la0FwZcfmZpeQUwt72+6tvZHzC/v/V+7LuY39/ylvLAUegiiCTEuVQKRaHnxp7MDM9E1EDRAomBPJTo/FA... | H _ { d } ( a _ { 0 } , a _ { 0 } ^ { \dag } , g ) = H ( a ( g ) , a ^ { \dag } ( g ) , g ) , |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAAAgCAAAAAA+x/A5AAADcUlEQVR4nO2YUbmjMBCFT++HgawEroRYYCWwEqgEKoFKoBKoBJDQSAAJIGH2AZqkhZZMgI8XzkuBJP+ZYYAmORHQKfQKQziqUxDStScD7s7dNmp/D7YtERXP45wclQJAWLh0ZcEZ3G2j9vZg24KIUhAR0SOqHZEJ0gcVEqWTvTucw902al8Pvi2IKJY8ZImUiKgVLuMYcBZ326g9PTxsQURhwmMmaIdfhweDAWdxt43a08PD9gfoGuY/zD0SAIAQzWxfDpzD3TZqXw8... | F _ { 0 } = 0 , \quad F _ { 1 } = 0 , \quad F _ { 2 } = 0 , \dots , F _ { n - 1 } = 0 |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAADT0lEQVR4nO1Y0ZWjMAyc5G0DasEpwVuCUwJXAluCKYGU4JQAJZgScAm4BChB9wEhgRBiCLt37y7zBbYsD5IsS+wYK+FzROJ1mf3a/c/Hxh/OC2SSw7QQr0NFFbOhBTI6nhRaawEXCyBuinAZ98AXKy3AzMw1qmCZCmZy/iUCqQqVyYSAEFN0d0tOgXMekexf/WemBvOFu0x6xLcy+VfWJFXis5dcYARAgCy791rqkYS+qlUDGWFZR2ynYjaYQB1BZsxsSNSd7ruwrse... | 1 - { \frac { Q ^ { 2 } e ^ { - 2 \phi _ { \infty } } } { M r } } |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAFjUlEQVR4nO1b7ZGjOBB9u+UEdCFoQ9CFIIfAhCCHgEOQQ4AQIAQUAgoBQoAQen+AMQiMZGTf1lzt+7FVM4taeupWf0nzgxACw0TQd29GbzmPFPEz6Kv8bCLnOYjLOVoEBaBjIuSzD6BAGikhiGCKKnKaw5CsixMQQrBjSdwkEahjVRhCMEUTN8mI5ogyVKQKAwh2TEVNMYEfMfQmUoUBXjTvVbQrA4BLe2QUl3nctP494DJqC++QOOaqKmQx0/o1aNokbgtHpPrYOMn... | \nabla _ { \mu } \left( { h ^ { \prime } } _ { \nu } ^ { \mu } - \frac 1 2 \delta _ { \nu } ^ { \mu } h ^ { \prime } \right) = 0 , |
"iVBORw0KGgoAAAANSUhEUgAAASAAAAAgCAAAAACXn/roAAADxElEQVR4nO1Z7XGrOhA9zqQBpQS5BF4JSgm4BN8ScAlQApQAJUAJqARUgijh3B+AAVtGQMjMmzs+M5kQ7UdWh93VByfiF9CK3ZaFjncb/wY+fsFndta7bYUo/lf8/AJB+iLND8zb4LBIDsExBFWT5yBX+x2ZygTATwg+Gp/TPxJxRaWjVYZT3SL7ASdTZAZZCvy5hoe4M1nRbDK4Db0hDO+FzglUSUY5V2GiWwZ2LkO5zscj0pKUDWlFvc/BDOVVCvjVZoiQ2sbmV9y... | x ^ { \mu } = x ^ { \mu } ( v ^ { 1 } , \cdots , v ^ { d } ) , \quad \mu = 1 , \cdots , D , |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAH/0lEQVR4nO2azZWruhaEq+/qBHRC0A1BHYIcAh0CDkEOAUKAyZtDCCIEEwKEgEKoN+Dfxka0j896vEMNurGtLT6p0A8bwP9tZX882r50xt8DYReOHuiDQJ6il8U7VJ4cCACuVpsC01hmAmkOGA3gUnYHfsRtNAAXF3VgpNcp3XedaI9yvp3WQ/yMwYOGZBNCGGNMALX9YvGTAUlSYtPlGIqMJJsACEmyUkhIehJ30eRVqKoJReV51gTGo5Rnp/UQP2ZYowFJGgTth9C... | E _ { \mathrm { b i n d } } = \operatorname * { l i m } _ { \theta _ { \mathrm { m a x } } \rightarrow \pi } ( N E _ { F S } ( \theta _ { \mathrm { m a x } } ) - E _ { D 5 } ( \theta _ { \mathrm { m a x } } ) ) . |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAAB80lEQVR4nO1W0ZGrMAzcZNKAXwl+JTglOCXwSjAl2CVACaGEUIJdAi4BSsAl6H3E5DgOEn2Ej5uJfjITJGu1K8s6EHayoFlux53Sp3/tJbI8aR8znrpiZDgedpOgFobjdgSAUKb3AwiS5XYE4Jw8h7cDiLwmBJGxRF507+0Bb2A5LcDqgdBWglPypKMG3KBD0XhG1Alo3aBvTzK4UJyvDD7rDGDoMUTvZNEw8gNE40jGbHO0UKjTc7F0sRpjLRWeJEeC+xzwejr+8cF... | \hat { \lambda } \equiv \hat { a } + i e ^ { - \hat { \phi } } \, , |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAADvUlEQVR4nO2Y7ZGrOgyGn5PZBtyCTwlsCaQEtgQoAUqAEqCEbAmmBFxCKAGXoPODr/ARTHbOvXf2zr5/PBGWXiRZkgnyIrp0JUibV038q0S/BD4tPaIAL7JUrSWx9qtB1QIE0Zm9XqLeGEAYeuyIiEhAI3IvVewNSG62ofZrycCyVf4ikdJlIyKNCjqPnd5BrUVE5Mb6WKxxj3aEZenRmt5qLbl9kejW+9Up7fNPLgBt2+dZYQ+zDdXeCYsqj1YP6zan6bniMZG9KcB... | R _ { \mathrm { f r e e } } ( u ) \propto I + r ( u ) Z , |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAItklEQVR4nO2c7XmrPAyGn/bqAn5HcEdwR3BGoCOQEcwIMAKMEEaAEfAI8Qh4BL0/+DJgCDlJmrQX958DWEgcFGNZlvtG+LsYK579CA/n/dkP8EiyZz/AD/CnHWgEzLOf4dH8FQdmR+fEGOgvAMwedwf+DkyeOiffBiKIYOwxls97pp/hjzgwUe6ZAKBKW3L25zvgX3GgdnsaZwAgSxOk0ZOe5+f4ePYD3AUtAKD1lggAALKMgeJpj/RT3OTA3Iar5x2JNadb7FzEMgA... | \begin{array} { l } { { { \cal O } [ V ] = V ^ { i _ { 1 } \ldots i _ { s } } \sum _ { k = 0 } ^ { s } { \frac { ( - 1 ) ^ { k } } { k ! \left( k + { \frac { D - 4 } { 2 } } \right) ! ( s - k ) ! \left( s - k + { \frac { D - 4 } { 2 } } \right) ! } } \partial _ { i _ { 1 } } \cdots \partial _ { i _ { k } } \phi ^ { * }... |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADfUlEQVR4nO2Z3XWjMBBGbzhpQC2wJcglaEsgJeAScAl2CaYEUwIqwSrBlGCVMPtAcIgRtoOUZB98X+wjYPQx+pnR8CIAUPuKRKxLncoUgIiIyL6UZJzNKZ0x6QUeTUKTcjLndMYQETnrmHc+H69bDgnHIwPYFfnSGeLtbtVcNxadjZl1nxGRU778Bc/tiWrSeoyweEUGrMvl76dMyPk6r5eb/EwGnQsI7FyU2XIX9fiIDHaFum71b43fvUVoLPxkYi4kwzfmutH/1ZV... | \left( \begin{array} { c c } { { a } } & { { - 1 } } \\ { { 1 } } & { { 0 } } \end{array} \right) = T ^ { a } S |
"iVBORw0KGgoAAAANSUhEUgAAAqAAAAAgCAAAAADoeJXoAAAHNElEQVR4nO2b3ZWjOBCF78zpBLQhaEPQhqANgQmBDoEOAYdgh4BDgBBMCBAChFDzIPEjqUDQhuk+c3xf2sbiu1IhCVCpfxDOVXXvi5MtXvqL9fNsAw15tsVLf7FO76Co9CGUu3fgoz4CG4I3ctvbrT2mAucyw8B9Sy1H/QcBuFSAQguVilXM7Q6IVNszMg30tTKn1AroBVOm/berpUTbSgm0QmCH36S6yoI2ZcHJ+7kMmOGGugiNG/KtLpt0BpMLHCocMmcs6HP05ag... | R = V ^ { a \mu } V ^ { b \nu } R _ { \mu \nu a b } ( \omega ) , R _ { \mu \nu a b } ( \omega ) = \partial _ { \mu } \omega _ { \nu a b } - \partial _ { \nu } \omega _ { \mu a b } + ( \omega _ { \mu a } ^ { c } \omega _ { \nu c b } - \omega _ { \nu a } ^ { c } \omega _ { \mu c b } ) . |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAE5UlEQVR4nO1a3XmjOhCdvd82oFuCWtCWMCmBlIBLkEsgJeAS5BJwCVIJUIIo4dwHBMj8yNldEuV+8XkJZsbM0dFoNCj+AfpcOFKfHDGNn58d8PrdBfhawyf65/hH3s43ou781m9a3RdT4HgBrle+nNxJiddNcycPj/hXOH4JuIL5/NIKum5Zt9MiI47PAHGjN6fP3W1zrLcvtgI+QABNL73RfLrUW1Z3Ozzg3+HHZ/cBXw0fsAv8v/DtBTh4F3D3lY/fZ8qJg2vA6/V... | \varepsilon ( t , r , \theta , \varphi ) = \sum _ { l = 0 } ^ { \infty } \sum _ { m = - l } ^ { l } \varepsilon _ { l } ( r ) Y _ { l m } ( \theta , \varphi ) e ^ { i \omega t } . |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAGKElEQVR4nO1b0ZWrIBC9uycN8ErwlcCWQEowJZgSsAQtQUqIJYQSQgmhhKWEeR9qohFF9+lmk8392rMod+aCwzCQN8IzwLF7WzCE93sbsATsfndvEwaxubcB/48tY0rc24hBvD1FiHgTx3ubMISnCBE/GS+BV8ZL4JXxEnhl/HKBnVmb4ZcLnKdrM/xygdfPn3+5wBFfm+EJdnJfR2mEU1auWsf41TPYOAtr1+X41TM4gzHZyhzBGazKsdZy6TTnC3Tp9i/0dqu6/3V... | s _ { \mu } \left( x _ { \perp } \right) = \Omega _ { D } \left( x _ { \perp } \right) \frac { 1 } { i g } \partial _ { \mu } \Omega _ { D } ^ { \dagger } \left( x _ { \perp } \right) , |
"iVBORw0KGgoAAAANSUhEUgAAAmAAAABACAAAAACYM5QTAAAM6klEQVR4nO1d0ZGrOhI9c2sS0Pvav63SS2CrNCHIITAh4M0AEtgqCAFCgBBQCCgEKwRUtQloPyRsMAgDBpu5e8/HvR4sjuSmaVqtVvNh8GKIUtOAvbrX/xNMCfc9gv98dYelyiC+svBhu5QInjAglgxIXjG0n48p4c4V/NYwLwYrjDERedTsEjamCZAZnhlj6mT/gf0OmBLuTMFvjU8AkCUAgO6i3Sp3H2hAAKgyAKAVnT4rzwBSnM9lEAJg5R4jm49caHZII+oVrk4... | \frac { L } { 2 } - \sigma = \frac { R ^ { 2 } } { U _ { 0 } } \int _ { U / U _ { 0 } } ^ { \infty } \frac { d y } { \sqrt { ( y ^ { 4 } - 1 ) ( y ^ { 4 } - 1 + \epsilon ) } } \approx \frac { R ^ { 2 } U _ { 0 } ^ { 2 } } { 3 U ^ { 3 } } \approx \frac { 1 } { 3 b y ^ { 3 } } , |
"iVBORw0KGgoAAAANSUhEUgAAAyAAAABgCAAAAADAq0lFAAASF0lEQVR4nO2d7bmjLhPG791rG+ApwX8JnBJICaYEU4KWoCVoCbEELSGUEEsIJfB8QI0vQPAt2XOW34fd4zlxMMjoMMwwvyR+PE1RIAIaEYWfvhTPd+PXP6AgwH9hCkCcWPrpK/F8M35/+gLeQdNQACBxJj59KZ5vxj+hIDUYAICg/vCVeL4b/4SCcEran/wbxLOMf0JBavUCQYPgE81fmk+06tmFP5++gDfQTkGAOmAOn7b5vLLgpSNsfr4IgLoUQUgXXLTnL0H+jcS... | E _ { j } ^ { ( b ) { \mathrm { t o t } } } = - \left( \frac { k _ { D } z _ { j } } { z _ { 2 } - z _ { 1 } } \right) ^ { D } \frac { 2 ^ { - D - 1 } \pi ^ { - D / 2 } } { \Gamma ( D / 2 + 1 ) } { \mathrm { p . v . } } \int _ { 0 } ^ { \infty } d t \, t ^ { D } \frac { d } { d t } \ln \left[ 1 - \frac { ( B _ { 1 } t ... |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAJlUlEQVR4nO1c4ZmjKhQ9u99rgC2BVwJbAimBKcEpgZRgStASYglagpQgJWgJ9/1ADRpQMnF2svv2/MkMwcsdLnDhHJxvhL/YR1MNXInPsPz9M4z+cahMcZU/y88w/acEoKyOslSZ+7ILB6Q+P9RYyE4Af0gASqijTKnG7zk36m0FAIN9pLGlnSj+jABYkx1nTJeDZxkA0F8BDIw/1NjCThz0ytCqTaqnuqRqXZ9UrdbzA5oLyZzxFteHGvPtbOC1A0CSpfRZnaVZ03V... | T ( { \bf s } , u , u ^ { \prime } ) = \frac { \lambda } { ( 2 \pi ) ^ { n } } \frac { ( \varepsilon _ { k } + \varepsilon _ { p } ) \xi _ { 2 } ^ { 2 } ( u , { \bf s } ) } { 2 \Delta _ { - } ( w ) } |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAAAgCAAAAABGeP6YAAAGmElEQVR4nNVa23WkOBC99pkENCHIIcghiBBwCHQIIgQ6BAgBQoAQUAgoBAjh7od4iG7RTXt256zvj9ugKl1KpXoI3oifA2uzvzNRbsTZoe//JY9/GdM1/UszpV+nh/4kA35lp/3iD6FUfnbo28/ZwlXT/r3Jfvfy3MAf5IHXvxQAAQDZWRfcDOi+M0/+cJ7u7ehOUr08VTVFImB+EKwuU+zqdD1W7xLYZlOXNift8X75/EwSALg4APYr+Ti9/YGp+qZXmAePcoBGRS5... | W _ { f i } = \langle \, p _ { f } \, | \, q _ { i } \, \rangle \, \exp \left( - i H ( p _ { f } ) \, T / \hbar \right) \, . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAIp0lEQVR4nO1b25GjOhA9e2sT0IagDUEbgiYEJgQ5BDkECAFCgBBECBAChAAhnPvB2xYYD57rrbqcjylblo576Fa/JP8gThxBmQHhgfU/XybJ/xPX1qCsJYAPtKUO1bMEP84dcAT1b6eH19coDZ5n+OeV4vz/IJHP3unVees4FXAMaXIdXpYQXyA4Y8AxBLiUaffgy69sgHMHHEN7bav6owWAtn06AAOnAo6h/RMYkZYRAJSQX6E4FXAEV60ApXPgywo4Y8AB1IkDAJk... | d \left( \mathrm { e } ^ { - \phi } { } ^ { * } H _ { 3 } + \mathrm { e } ^ { \phi } C _ { 0 } { \tilde { F } } _ { 3 } \right) - { \tilde { F } } _ { 5 } \wedge F _ { 3 } + 2 \kappa ^ { 2 } \frac { \delta { \cal { L } } _ { b } } { \delta B _ { 2 } } = 0 |
"iVBORw0KGgoAAAANSUhEUgAAAiAAAABACAAAAAAGiZOzAAAK3ElEQVR4nO1d7ZGjOBB9e7UJ6ELQhqALQRMCEwITgiYEHAKEgEMQIUAIEIII4d0PARYYA/Z4jWfKr2qrPC14tJrWB90N+4t4QrSt3FuFFzz+2VuBGVT//fvn3+PeWjwN2mbPqz+jgxw1a/mxtxZPgr1HyzM6iIghTVvsrcZzYO/R8nu/Sw8oABnuOQwAQO2jzLNBRJDmvdB7Xf+BM8jnf79+/fmca3h7y/rf7X+/3g8ADkasM2afGYD28LnrKn0vzNvHSGDX0cJHIZH... | S _ { \mathrm { n o b o u n d } } = { \frac { 3 \pi M _ { \mathrm { P } } ^ { 2 } } { 2 } } \int _ { 0 } ^ { \infty } d r R ( r ) ( 1 - [ R ^ { \prime } ( r ) ] ^ { 2 } ) = { \frac { 3 \pi ^ { 2 } } { 8 } } M _ { \mathrm { P } } ^ { 2 } R ^ { 2 } ( 0 ) \ . |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAABACAAAAADn1PsTAAAIf0lEQVR4nO2c33GrOhDGv5w5DeiWoFsCKUGnBFKCUgIuAZcAr/fNLgGVYEowJaAS9j5ggxDWSjh2MsfDN5OEBLG/Fas/IK3zRvDV1VkOwJg8W5zb9Lfp1+Ivda3Me2t3tuyOP+DQpsfqt/tLe8xy2BKq/qMqgXz/U15tepjcHtx96p1BBkBnHQBEhuj6/e0u5kMGBms8a2lWl6VGQ3HEeuNpuoLu4cSucQO8zyEFOgBtlv2xQMtfq5vgqV0dOmN2Hx8Rn1Jkd5lnzQa... | \int _ { 0 } ^ { \infty } \frac { \cosh \alpha t - 1 } { \sinh t } d t = \psi \left( \frac { 1 } { 2 } \right) - \frac { 1 } { 2 } \left( \psi \left( \frac { 1 + \alpha } { 2 } \right) + \psi \left( \frac { 1 - \alpha } { 2 } \right) \right) , |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAFlElEQVR4nO1a3ZmrIBA9e780wC2BWwJbAluCW4IpAUvQEqSEWIKUEEoIJWgJcx/U1UTwL+66DzkviAPMeJRhYHwj/CjsR7WkWc1+yoA/36UogLpe0kpno1vWrNHyWQNZp+rDThiwGwEuSTQAwHz8fQeA7PyR2MkuQWibPt6qjQSQ/fs31e9LrC2AuGOxnLSD9sElpSoWFRERSeREROXF065coPAaje+pZmgVT/bsxPxyZ0Alq6ABexEQV0QVFBFRWUpJRKR87ZYQIG+... | E _ { k k ^ { \prime } } = { \frac { 2 N } { N + 1 } } \left| \sin \left( { \frac { \pi ( k - k ^ { \prime } ) } { N } } \right) \right| ~ . |
"iVBORw0KGgoAAAANSUhEUgAAAiAAAABACAAAAAAGiZOzAAAKzUlEQVR4nO1c2ZWsOAy91WcS8AvBLwR3CK4QqBAgBBMChECFQIVgQoAQIAQIQfPBZnZDLadnmvvRS5VkZFmWZcnmQvggikfBpPzkE088ia+PPs2rInbNNskSzy9Q+H7yAZFOrOOzBhIEUHig8m4FcAsXqJJ74ITJlcnTQn4A6MPIkZJOeUSEYIHE1UQ5YqLYeb88EUP8/qf8d/HPB2zQr39xF0B1iwQkeIEK7piwCAseNX/CATizf4jBuwtuEYoDbL8Gn11iUN2kCwA... | \zeta _ { T } ( \nu | \beta ) = { \frac { \varrho ^ { - 2 \nu } } { \pi i } } \int _ { \mu } ^ { \infty } d \omega \int _ { C _ { + } } d z { \frac { d } { d z } } \ln \left( 1 - e ^ { i \beta z } \right) \breve { \Phi } ( \omega ; z ) ( z ^ { 2 } + \omega ^ { 2 } ) ^ { - \nu } , |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAHj0lEQVR4nO1c63nzLAw97dMF+EagI9ARyAjOCM4IeIR4BHsEewQzQhghjBBG0PcDfIvdXFqbpG97fvmiSHCMJSFwXgiPgMssAKkeYjwqXh9i1W3QNELLhxiPi7eHWM1tAwDiIcbjIjLB1jIBuDJlgPkNAziui3DZ++YjA4wTgNW/YQDHJXhXVnvvFxhQ/goPEdVFlHWVwAkAsMgdfoWLeImYpm31KRxtNFe2PsYz/TjEJPhFNuHIGcE+eLWAztIw4dIFFK2FiD5Y906... | h ( q ) = c _ { 1 } \int _ { 0 } ^ { q } d q _ { 1 } e ^ { \int _ { 0 } ^ { q _ { 1 } } E ( q _ { 2 } ) d q _ { 2 } } + c _ { 2 } , |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAESklEQVR4nO2Z63WrOhCFd7LSgE4JakG3BKUEUgIuAUqAEkwJUAIqAZWASkAl7PODtwHHeJ3khiy+H1kOntmabUYP7BfiSbzVz6Z+J29P5hljcQiDr0/m6UT90zq+jGcNHobT4NH59QaXq6g30OIrhnpKeEfSeujiDvpMq3e7t45Hxn9GeEfSRujCoDVC6mJnHY8wES788u31IXdUsxHaGnTxn/6CvgL+86YwsXGxeWjk9L90LmyEANwlm0XJQawrxsZZ9lk1k7o3Q0m... | d s ^ { 2 } = \frac { 1 } { 4 \lambda ^ { 2 } } t a n h ^ { 2 } ( \lambda y ) d \theta ^ { 2 } + d y ^ { 2 } |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAHP0lEQVR4nO1b7ZWrKhTdc9c0wC2BFnglkBKYEkwJWoIpQUuQEqQEKSGUICWc90NN8DOZXHyT+5b7x6wFgX1wC4fDwfkgxIRxikUh8sZLHoXph/ErKtuJqbOPwnRW6stFYfphRBVYQzBeRqFiYMw+2da/85v4jEnmAeBZWbZRwDD1ZFuDN3YmUWew8h4+jouAdXzGZJanqnr2TfwEogrMaqOZiELlRYJsWvm1uDrKU6R3ugvibnKlUl5GIfpC73FCtEtTVatYi2YXRPX... | \alpha N _ { f } = \alpha ( \sum _ { I = 1 } ^ { 9 } v _ { I } \gamma _ { I } + \sum _ { i = 1 } ^ { 3 } \frac { i \mu x ^ { i } } { 4 } \{ \gamma _ { i } , \gamma _ { 1 2 3 } \} ) + \alpha ^ { 2 } \mu ^ { 2 } / 4 ^ { 2 } |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAIOklEQVR4nO1czXnkqhI9cz+v3o5Z3xUvBF4IOAQ5BDkEOgR1CFII0u5umxBECCKEJoR6CyQ1SKh/rbkaj87GbjXiAEX9UIX9g7Aijjr6KIo1yb4n3lbt3aroIxt+MY3hBTMaLGOzl3aEWFVAjsn0F02B6r+lVUCV39WRWejo+2NVAWm+8IUEcvfZAVhqEXWjDf5YAf21ZueL+94BcPLdAfaObmQhvnBQvxnWNXGL+lHBZuLwLqGWWuzwWDdIAACYowMAXl4eZQCAPaa... | \lambda _ { + } ( x ) = - i \sqrt { { \frac { \pi } { L } } } \sum _ { n = 1 } ^ { \infty } { \frac { 1 } { \sqrt { p _ { - } ( n ) } } } \left( C ( n ) e ^ { - i p ( n ) x } + C ^ { * } ( n ) e ^ { i p ( n ) x } \right) |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAAC+0lEQVR4nO2Y3ZGrOBBGz7icgDYEbQiaEOQQ2BCYEJgQIAQIYQgBhWCFYIVghdD3gR8Dc2XXrfVA1a77SSAJHbW6PxrehJs1gcywscnNLlrIZWM7zliqjHpzB7zNjuCvL7v18nC4Ndu4w/pzAL+5+1cAbg8HzACC1/sCOB4fQYQAAWJ8PkB4DBAdNNCAap8P4B47oMmmZtY8CWASoujzxBAf0RogzG6qANH3bf1vgmcC8KjEkLYNRQnQztPEtFmoQsACzpT3Msi3UKS... | \oint _ { C ^ { 2 } } { \mathbf d } { \, { } ^ { ( | | ) } { \mathbf B } } \equiv 0 \; . |
"iVBORw0KGgoAAAANSUhEUgAAASAAAABACAAAAACfa/WyAAAFiElEQVR4nO1a7XGrOhA9yaQB3Q4urwRuCUoJpARSglyCXAKUYEpAJaASoAQoYd8P8SEhhPCdO3Y8w5mJ7SyLtHu0u1o+3gjPQNkhS58y8734eMqs3bV9G4qnTH0vnkPQNUPxGgGEt6ek2K8bf8a0f4P3Z0xaDS/Dz3MI0i+SXsCTCFKvE0ABgobpe9g8fKead5pO7tL/t5htDVi9cmqToEGNP1i1O9UxNQ8KWynWqe6uUWIYynIeUCullBl/Njpg9dqpTYLKbPqVlTs... | \langle T ^ { ( s ) } , U ^ { ( s ) } \rangle = \int d ^ { 2 } z \sqrt g \left( g _ { z \bar { z } } \right) ^ { s } \bar { T } ^ { ( s ) } U ^ { ( s ) } |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAFGklEQVR4nO1a4ZmbOBB93u8aIB2c7jrQlaCUwJVAStCWACVACVCCKAGVgNIBlPDuhwwIYxt2s4lya78/xjCaGT2PZkbCJ2JB5ZBKPBb+CK5d0Z/GMporcRASUKQoHy0AcAqWwJdaxXMkFl6Wy2Z8wPmHBNiHC39gRUD7iAEQEDBa8fbhf57OaD/Qp1+KpQq0uLoEnBO3iXF/f/94l34tlgiwVwl4tSheb46u9E9w6ReDE6TkFp0kB3RXnpDkkF69e0P6t8HKwXkJjDa... | \int d ^ { 2 } x \sqrt { \theta } i ( \chi \ast \partial _ { \mu } \psi ^ { \mu } - \chi ^ { \mu } \ast \partial _ { \mu } \psi ) . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAHN0lEQVR4nO1b4ZmjKhQ9M18aYEtgS2BKYEpwSiAlaAmxhFhCLEFKCCVICaEE3g9jFBXBxI377fP8SwAPcuBy7wU/LBah0EjYsibzyNZ9XCxUftmCdozDsuo6rz/M+SkmJdPRf4VGzp962qtQ5s9zZCkJV/pYtgKO5FSwp6asKk/THai2UeANMNkprMBCAX5dnhwu83OZ7sw/LABUETYWn4ueWJpnR+sYMRneB1Vk76BhpAzWWSaAenbDlGSTrdYDo4SU7yA65cGtZpk... | S = \int d ^ { 1 0 } \xi \; \left( - \frac { 1 } { 4 } \mathrm { T r } \; F _ { \mu \nu } F ^ { \mu \nu } + \frac { i } { 2 } \mathrm { T r } \; \bar { \psi } \Gamma ^ { \mu } D _ { \mu } \psi \right) |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAADzElEQVR4nO1Y7bGjOBDsd+UEdCFoQ9ALQQ6BFwIvBDkECAGHACGIEFAIEIIIofcHIDDIX5TXe3u1/cMlNJ7pGTQajfgg3oW6dq6XUqXybZQA/nmVof6OvPrx1ScGhe5+HN1eI3vAF8HclPpEFCQtSHqDbJeRXTj8gne2RX9EK6YHkemvrngLL16YojfxDSsWj9pW+Vt4AXy8osj0OeAUIExcnp+bIb76ONLVx3Zdau4Z2YtX5fqN7eOFHUc20KXpk0b24h0pWkm9mTP... | \pi _ { \lambda _ { m } ^ { ( \pm ) } } = \pi _ { m / 2 } ^ { \pm } \bigoplus \pi _ { ( N ^ { \prime } - m - 2 ) / 2 } ^ { \pm } |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAACd0lEQVR4nO1XwZGjMBDs3doESEEpKAU5BC4EXQgiBDkEEwIOwYRgQkAhoBD6HhiQzayBNVd3D/fHVcP0TEseqeGD2AkhKLVXrQSfu1WKxXm3Wgn2E6ij2a1Wgq/dKoWoX+LHMhphifcC6zqLmftZgzo7bufGMsL2o3s09cELfCaoDOkcfwZrSXPdxrnalh4nkmwd2QkpdwJVRZpqoaj5Jq6upLpsE2hJ0qElSSXJuxd4BUnIecsCQbZ9q/WAJnmBJ0mbiymfAOq6n4c... | \gamma ^ { a } \gamma _ { b } + \gamma ^ { b } \gamma _ { a } = 2 \delta _ { a b } |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAADVUlEQVR4nO2Y23WrMBBFT7LcgG4JpASlBLkEUgIuQS4BlwAlQAmoBFQCKgGVcO6HsS1s8XDMR7JW9o/xgOYhzYwEb8Sm1KaAK/Ntlb7C+8b6TAKUG+t8iXcAfv+53+8t4D8+vo6v6TMKsPJR/g0b9f6tXiudgSSp0ZMks4Kv0QmSg7I7nrfRRhXFpZOcA1SSJHv91NAYhSIryTxy63kbuVwvnWR3TiwNwJrXe4N1NZw4pZFbz9uwar10kh0AGEigFPqpkWOrHkCSwFQ... | K _ { \dot { A } B } = \sigma _ { \dot { A } B } ^ { \mu } K _ { \mu } = k _ { \dot { A } } k _ { B } \ . |
"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAAAAABJ1JBjAAAI40lEQVR4nO2c7ZmkKhOGn/NeJwFOCJwQ2BCYEJwQnBAwBA1BQmhDkBCaECQECaHODz9alFa7p+edndX7x+6Ojc9UQXVRgO5fhCXOycjVkz+RvxdXnEaVnAFwFJYBwBJhv8GQk+/hf4srTHyDGSffxTIDnPwwKg2I/Nm7zwD48UgGa56+ezkFvADz/roqwhkH/TK1Ba809ZtgUn5i1v6KDFD4XNv0VWJC+6+rSl5q6o/kr9g+wNvzU8rLsWdNuo0p6mdv/VwGyOKB4jg... | + \frac { 1 } { 2 } h ^ { - 5 / 3 } v ^ { \hat { I } } \partial _ { \hat { J } } h \bar { \theta } \Gamma _ { ~ \tilde { I } } ^ { 0 ~ \tilde { J } } \theta + h ^ { - 1 / 6 } v ^ { \hat { I } } \bar { \theta } ( \Gamma _ { \tilde { I } \tilde { 1 } } \partial _ { 2 } - \Gamma _ { \tilde { I } \tilde { 2 } } \partial _ ... |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAHlklEQVR4nO1b7ZWjOhK9M6cT0GSweiHQIcghyCHgEEQIEAKEgEJAIVghoBBQCLU/JL4xdrft3dNvuH/cBlFIl1LVrcL9i3DgJTirZOvwr4PgF8Fu8nsQ/G58/L8n8C+BtshRWem8z1FZaT1yAAfBL4LzSQXLWFXjpDljRWN0OPP71XfKihdb/BFgqRHg0kkAlksnIcpw5vkYbBPAMRa+GOfi1vjL4P90DPjTMvxpEvxpWX/ieQ92mQOKuCFE+rS9HwadaQDQKStgGUO... | \phi ( r , \theta ) \stackrel { r \gg 1 } { \longrightarrow } \mathrm { e } ^ { - i p r \cos \theta } + \mathrm { e } ^ { i \pi / 4 } { \cal A } _ { \mathrm { A B } } ( | { \bf p } | , \theta ) \frac { \mathrm { e } ^ { i p r } } { \sqrt { r } } |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADlklEQVR4nO1Z3bWyOhQc77KB3BJiCbGEUAKWEEvAEqAEKAFLgBJICaQEUsL+HgBFghDwyJPzoutwJpnsnf2HB8KO0HdEbB3lsKdAe66uyNdx/vuOlGkkkpmVBtzXgv+n4WrOnha8W7metKdAzdf6FztbcIMBcWw/bLI6/lfDGL6B1VqwPFucyr/V46CE2EIjIqpUTVSrir4KhS2sHdPMiVUbWG6QaPu5linYTVewF2jK0nTrBJkP70nwRYntAstLBmSBAYA7lMdmA4I... | \hat { Q } _ { 1 } ^ { \prime } = Q _ { 3 } \times \int _ { S ^ { 2 } } \! B \ . |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAFSklEQVR4nO2bwZGrOBCG/5maqj3rhaANQRMCDkEOQQ5BDgFHsAWXvcN5TygEK4GtskKw9rqnfw+A7fEAtsHz3k7Bd5mSxmqa30KtbuQXYnb88fdvU4ZLc9l6nebLt+Svf55o7O2Jtr4L//75RGMznIFRPNPaDAV08pnWZiigT3r+kY+xtgh4YrsbY22GAvYQyjBm2PwEdKq7P9ejzM1QwO4n2EnAjTA3PwF9MwMdAITYdjvTMzNvMD8BUW8D/SoibH/fNJ07DYHYP6i... | S = a c t , \ \ \ \ \ \ \mathrm { w h e r e } \ \ \ \ \ a = \sqrt { \frac { \kappa A } { 2 } - k } |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAACACAAAAAD2POWnAAAS00lEQVR4nO1d25WrurKde42dgE4IOiHQIcgh0P/3hw4BQoAQIAQIAUIwIVghoBDqfAgwDwECC9urr+dHD5sWVdMUj6I0Kf4hfGALVTPv1Rz24s+rCfxVqKJXM9iN1wRYzZfMF53n7CiYOM/2WfgDAFV1gmVZVYA0/iuZL8qK4ZfaIY+RM6eW99g+ZRPb4A+gLkj+7+sfxwyiDIiKC1D//Fx+fmrg8nX5ygAgChigkigahL8IAEBqEkGxfmTMTQLy5zvLoqxIomzMI2A... | \begin{array} { l c c l l } { { \mathrm { f l o o r } } } & { { \mathrm { S U ( 2 / 1 ) } } } & { { \mathrm { U ~ ^ { m } ~ ( 1 ) ~ \otimes ~ U ~ ^ { l } ~ ( 1 ) } } } & { { \mathrm { f i e l d } } } & { { \mathrm { h e l i c i t y } } } \\ { { \mid \mathrm { g n d } > } } & { { ( 0 ~ + \frac { 5 } { 2 } ) } } & { { ( ... |
"iVBORw0KGgoAAAANSUhEUgAAAiAAAABACAAAAAAGiZOzAAAIiUlEQVR4nO1c7ZWkKhC9s2cTcENgQ6BDwBDsEOwQMAQ7hDYEDUFCaEKQEJoQ6v3wC79weqZ37T2P+2NmjiDeoi5QlDgfhLeGUvnRFP7f+HE0gR0ofjSD/zneWiBGGR0Ecix+Hvx8Y6JNCWSaa8P+JpuABQ4WiIqFviUbZaaGzv4un4A5DhZIIXNrV0tOssqBiwCAzN5e8Cyr2988ekFj/yyFZ3GwQKo7otXOsjopIlzAAcC+JBCpFLMqQdW8orF/lsKzOFYgejMA0QL... | G _ { M N } ( p _ { 2 } - p _ { 1 } ) = \int { \frac { d ^ { d } k } { ( 2 \pi ) ^ { d } } } T r [ M { \sigma ^ { 0 } } ^ { T } ( k + p _ { 2 } - p _ { 1 } ) N { \sigma ^ { 0 } } ^ { T } ( k ) ] = G _ { N M } ( p _ { 1 } - p _ { 2 } ) |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAEUklEQVR4nO2a0ZmDKBSFz+SbBpgSMiUwJZASTAmmBFNCUkIsIZYgJYwljCVICXcfNEYJEhATdr/1PI1DhN8j3stFPwhDFfvxcTS9DWQzPmQ8rLtahZ3fKwzEA0MzACxkXKhdFXT+QCEgPhi6AUFSu3rJ7ubKC2MBA6q73acRhwzvexbFCOMZRbgBatc/cEyMWvZvdGBAoWE8oQg34MyFuYGdDsGdv54i2ACVX6aaUrxtCsynCDYg59vJtjQP7f31FJ/BQ5+m29Kvepp... | X \biggl | _ { { \cal I } ^ { \pm } } = O \Bigl ( \frac { 1 } { r ^ { 3 } } \Bigr ) \quad , \quad X \biggl | _ { { \mathrm { i } } ^ { 0 } } = O \Bigl ( \frac { 1 } { r ^ { 4 } } \Bigr ) \quad . |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAGj0lEQVR4nO2b3XWjOhSF98xKA0oJSglKCaIEXIKmBLkEKAFKgBKkEqAEKAGVcO6DANtY4HiAibMu30PiCOWANvo52uBfhFfA1ZwvF7wqv7/7AgAA9mT/5IsFL8uvl+iBUcHcZ7NU8LK8hoAA8DHV667gJfmOIVzbGgDgrLW27QvzuP9gz7m7KZjHntxcbADWAYA71dM620L/HCU1V0REGdNKIiEiokp2/mjFEtVdF8zTMTMbm6oE2vizPAy0hn0F1BCGOgVRXcoySdT... | \sigma = \exp [ - \int _ { r } ^ { \infty } ( \frac { 2 R _ { g } ^ { 2 } f ^ { 2 } \exp ( - 2 \Phi ) } { r } + r \Phi ^ { 2 } ) d r ] |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAACJklEQVR4nO2WwZWkIBRFX9epBOgQTMEU6BCoEEjBCsEOwQrBXkwAGkITgoagIbxeCIhIac0458wsfBvxw788PoqCKzVqWAdJkoP6ftKT0F/CXIHRAACQCwDAeKttY7pMbZMLQMiPLggulcRMeeGoPcxKZJFLKSW0tayLaZVA1vl11MJ26niFXkmMy3Ols9ANTCyQ3wNJndsN6cRAkloNVMU8u7K96GKCUxLj8qxpB93AxLpMe/JpGlv0LyUA4FEJZHOdTT5dM/X1bCu... | Z \left( \beta , L \right) = Z \left( L , \beta \right) \ , |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAAAgCAAAAADfmpiZAAAHTklEQVR4nO1c63mjOhA9uV8a0C1BKUEpQSkBl4BLkEsgJdgl4BLkEqAEVAKUMPcHCCQhXo6XxHszP/YzWs6ZM+PxoAe7L4TdzTD2FJxbnO3q/yfZP/u7bD7Kp+Dc4mxX/z/K9i+g5sM8BecWZ7v6/1n2DR0oexLOLc529f+jbP8CYvI5OLc429X/z7Jv6EC/9jfZbwH92nZrbv2c77eAZuz09n78bg0PtoeEdDvcjpfu8+sqxHuivuz1+awsK7x9t4jH2mNC+sxZ856... | F ( x , x ^ { \prime } ) = F ( x ) - \frac { 1 } { 2 } F _ { ; \alpha } ( x ) \sigma ^ { ; \alpha } + \frac { 1 } { 2 } F _ { \alpha \beta } ( x ) \sigma ^ { ; \alpha } \sigma ^ { ; \beta } + \frac { 1 } { 4 } \{ \frac { 1 } { 6 } F _ { ; \alpha \beta \gamma } ( x ) - F _ { \alpha \beta ; \gamma } ( x ) \} \sigma ^ { ;... |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAADd0lEQVR4nN2Z/3G7PAzGP8llAa/gjuCO4IxAR6AjOCOQEcgIZAQYAY8AI8AI+v4BoUD4Ed40uev73PWOWJZ4ZMmWTHcClErxR7FKfQ/UR/8WMi/AOvU91MfyLWRegAeo74HoDVRehHXqe1D2DUxegweo73/jPWX9G1ZegzsHvzxfW/fk5/cvsXkBDuMBo9BbjbjNGm+EiAipvAWhqbYpxCpfmbFK/Vf24IO4XNMtDcXnmTD8fnZ7v9HB+pRs8a/0FiJ1fvKtOxmxuJY... | \frac 1 { { \cal E } } \ddot { G } + i g F \dot { G } = \delta \left( \tau - \tau ^ { \prime } \right) - \frac 1 T |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAACnUlEQVR4nO2W0Y2jMBRF70TTAFsCU4JTgqcEUgJTglMCKSFbAinBlBCXACXgEu5+YJjYsRkLZbSKlPuD5OMcv2cIBuSoR5IcNYPoagyHSHKsrrFhB1OypG6zMa88kG1BkmxEOLOIVEmS5yJVaVq2ottozCxvB5gKAGAl/BzrcMSlro5xgLRsRbfRmFseWTUkSdn6G9Gnd7VHn0IJ2apukzG3PJDuVodLNDVJcmykujbxRSNJyNZ1W4y55b1jsKcTABSlf6e7CgDsp1T... | H _ { \lambda _ { 1 } } ( q _ { \lambda _ { 1 } } ) = H _ { \lambda _ { 2 } } ( q _ { \lambda _ { 2 } } ) = H _ { \infty } ( q _ { \infty } ) \; . |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAADvElEQVR4nOWY3XWzOBCGn3wnDWhLYEtQSlBKICXgEnAJuARTginBlIBKsEqwSpi9EGDA/MjJsvud3fciMSTPK400Mwi/CfuqNMnOI6zr17729qP8OO47xIb2DbA8ZM3Nf/pdB1nX264p6hIAj9pzkHXtG+BvoEeKlu5fnMZ+6nbQHnBZ8Q0DV/5sAkn2M35L7Q7+Bt1gJ7U7+Bt0g530P2oy/4CsHV5VLxXEmI2H3wR4nDW+WfJxBq4cd7HDOX6EwLqT08WLsIiInMl... | \hat { F } _ { \delta W } = \hat { \overline { { { F _ { \delta W } ( \eta ) } } } } + o ( \hbar ) \; . |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABgCAAAAAC/TCZFAAAD+ElEQVR4nO2a3XWrOhBGN3edBtQCpwSlBKUEUoJcApSAS8AlRCVYJUQlhBKsEnQfACMcID/CKz5r8b1AbHnYHo1GmomzwP1UlSLZxn8bcCzoiBfOpVrJ7ufByiO8lolWsrcKAF2kE5kTAPXAdDoWOk81+sfbEiA9WEBIgKPv/3zShX7ROtXqmbCtOF9v1SXd3B0XCSR7D/izgY1FbRDXkzTjzfz9ryoGPBaAqUzlQajjbyFNFU3xqQCMbcif30DQJqeILRR50EmgKkB... | \left[ \stackrel { \left( 0 \right) } { H } _ { B } , \Omega _ { 0 } \right] ^ { * } = 0 , |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAAAgCAAAAABxmvPpAAAE40lEQVR4nO1Z0ZGjOhDse7UJKAW9EJSCLgQ2BDYEEQIOAYeAQxAhQAgQAoTQ70MCSdiwrH2163vl/tktjXqma8aakeVfxHehG07ttwX7w/g57f98R5CT+6O67wj2Z+Glb2ifTsWwQRwmADgXzYMCfIFOv4u9XUOHZlHYDNN0xHUgue1KRsajTgKmOBXD++/daj8oOJA8MdEeJP2ry9mQZrArhkvRAXl53k0suuYTab5A5qaARXlTFLK5OI/vsvkt9p1eka5kHXUCADg... | d : \ c ^ { p , q } \rightarrow c ^ { p + 1 , q } , \, p a r t i a l : \ c ^ { p , q } \rightarrow c ^ { p , q + 1 } , \ \{ d , \partial \} = 0 , |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAEdklEQVR4nO1Z/5GkLBTs27oESIEU+EJwQ2BD8EJgQ3BC0BCcECQECUFCkBD6/nB+iOI4s9/ulVbZVVuz895rpGF48PAXsVtYKLEa9PYPOvIzcCeI98/VsI0J/PRPh1Y+U+bkYuOfMA3blsBPLZ+OFQEQmAgqPqcKf21pDZ5EnrC6oc8yof3TtpMAV5VxyO9v7eH/g3d1wnqy8DII6Jl4b309DVDirOMobgdZlzA2JduaJuHpmzJr5gFZH0VtSGCTpaw9afqkQJI1mlm... | \left( \Re ( u _ { k } ) , \Re ( u _ { k } ^ { \prime } ) \right) = \left( - \frac { \pi } { 8 } \, , \frac { 3 \pi } { 8 } \right) |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAABACAAAAADn1PsTAAAH30lEQVR4nO1b0ZWkKhC9+84kwAuBFNgQmBCcEOwQMAQNQUPQECQECUFDkBDqfbTa2oqi07Nnn+392O1zprgFFFBFUf4iXNiDKOSvorrF7FVUbvzz8ypOhSh4mX0RR/ZlXE78et8dbDMbiJ1tEha+kNhk6U79+/Hx4xr+VmQmZl9BYLDDyI3JX0ksWBH4Kz8IOoqy/9GWa2J/K3LeEpWc1J5Gsn4xsWz3qD+Cwz44E4CJksiCwbxyxf0hRCEDZGP3xDkaHg54F7FIdqg... | \Phi _ { k } = \Phi _ { k } ^ { ( 0 ) } + \delta \Phi _ { k } \quad , \quad \delta \Phi _ { k } = - \lambda \frac { \alpha } { \mu \beta ^ { 2 } } \sin \left( 2 \pi k \frac { \alpha } { \beta } + \delta \right) + O \left( \lambda ^ { 2 } \right) |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAJmklEQVR4nO1c752kKBB9e79NgAuBDYENgQmBCUFDwBA0BA1BQ8AQNAQNQUN498H+Z7cobU/vXN/1+zI901D1oKAoCpgfxJejTVIFAMmYf73wIAKj/h7FW3gCsZ9fLRCArEcA6DO3U8BYjDLarz+uBLr91fchhPMziP31xfIAQMgWADKzc7i1v2pkyW71VdV1f3zqh3B+DjE+AdqS7ES3s7qxZLmfmDW7q+5HCOenEHuGC4XqAcSR3Fm96oAHFov2OxbAEM5PIfYMFwo... | S _ { E } ^ { v o l } = \sum _ { a } \frac { V _ { a } } { 4 G _ { d } } + \frac { \beta } { 1 6 \pi G _ { d } } \sum _ { a } \int _ { M _ { a } ^ { d - 2 } } F \wedge \Psi - \frac { \beta } { 8 \pi G _ { d } } \int _ { \partial \Sigma _ { \infty } } J _ { D } ^ { i } d \sigma _ { i } . |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAI0klEQVR4nO1c752zKhec3N/TAFsCWwIpAUswJZgSsARTgpZgSpASpAQpQUo47wc1/sNEs9kbn/tmPmWJGY+MwGE87oGwb1wNi9jraZ2Rryf9Dfzz7gAeINMRglcSag0AiPUrSX8RexfIJlwxM201DgCsfYKwEehvkQf48+4AHiAB4Pi4zZ1gw8SdLUS6lucirBXh7U/510i0lxGkJ6PB9h2oxWQNykRR4XSSZemud0kGPDZjIn5JpP8ydjKCLlk5bmCXazs6TFxMDnY... | 2 \mathrm { I m } { \cal L } ^ { ( 1 ) } = ( 2 s + 1 ) \frac { ( e \epsilon ) ^ { 2 } } { ( 2 \pi ) ^ { 3 } } \sum _ { n = 1 } ^ { \infty } \frac { ( \pm 1 ) ^ { n + 1 } } { n ^ { 2 } } e ^ { - \pi n / \beta } , \qquad \beta = \frac { e \epsilon } { m ^ { 2 } } . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAAAgCAAAAAA+x/A5AAAE+0lEQVR4nO1a25WjOhCs8ZkENCHgEDQhQAhMCDgEEQKEYIdghwAhWCFYIVgh9P1AgrEegPy6e/ZsfeFGVdVG6NX2B2EJdbPY5Gl4npesAeQirX1ZPct+NTbLTdrXZ/ECL91zzrMEAudcqafZr8bn+y3fhbTBxDkgX5TJHJZGQL0tUGz7t+TyTq8/Bh8La4Bmi02ehqd69cVaqT63VwW/awmaBO7ABoCsA2NP1hoA2APaAQStXuS1EurRdecxgQ2gd5r7N7j8eUQ3jLD... | \left( \hat { q } _ { i } ^ { a } \right) ^ { \dagger } = \hat { q } _ { i } ^ { a } \ \ , \ \ \left( \hat { p } _ { i } ^ { a } \right) ^ { \dagger } = \hat { p } _ { i } ^ { a } \ \ , \ \ \left[ \hat { q } _ { i } ^ { a } , \hat { p } _ { j } ^ { b } \right] = i \hbar \delta ^ { a b } \delta _ { i j } \ \ , |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAADBElEQVR4nO1X0ZWrIBC92bMN8EpgS2BLYEvwlWALpAS2BFOCloAlSAlSApZw30fEaCTPmLPnZD9y/wTmcocZmPFA/AY0XpTiIcu3+UcYfkTNfpzaEl+PmS4c+Hv8CTUPIFhphH/I9DBLofDh9A8pegCf7qEcmkeglRn9bchYhXbHFlmG9Sol8rRbAkjSIpJkYbiClXE9yKjLzGgeZwa3sapTMU+7JQAkqZQlGdGvedFl94uy3lB0xZA5m8Uq2eVpNwWAZCdrRbLPbKJ... | \Delta _ { s } ^ { \prime } \psi ( s , r ) = - ( \mathrm { t r g } \, r ^ { 2 } ) \psi ( s , r ) |
"iVBORw0KGgoAAAANSUhEUgAAAmAAAABACAAAAACYM5QTAAAJZElEQVR4nO2c3ZWkKheG98yaBDghMCFwQqBCsEKwQsAQrBD0+lxpCHjxBSAhaAgSwj4XCqJiqVU6Z3V/PGv16i7Ymxdli/xV/0C4DKX5dYUHvga/zinmydki7VESaM4pPvBlOSfA1HMZX2XZkOqU0gNfmFMCrH16EhUn8F1ekaUiMfnDnt+En2cUQotlBwbKk+blcT+jDleSVzHc/rDnd+GUAPOyN8DaPL2sDifRplQQ9Wc9vwsnDfKXtHunkM+YXlWHs0gBQL9Vy/c... | S _ { \mathrm { e m } } = - { \frac { 1 } { 2 } } \int \! d ^ { 2 } x \, \Bigl ( \partial _ { 0 } \phi \partial _ { 1 } \tilde { \phi } + \partial _ { 0 } \tilde { \phi } \partial _ { 1 } \phi + \bigl ( \partial _ { 1 } \phi \bigr ) ^ { 2 } + \bigl ( \partial _ { 1 } \tilde { \phi } \bigr ) ^ { 2 } + F _ { e } \, \cos ... |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAFs0lEQVR4nO1b7bWrKhDd567TALcEXwmcEkgJpgRTApZgSjAlaAlaQihBS5AS5v2I8ROIH3HddTT7X9jMOOwozCB+EbbAjfmL2X3hzxZO03Ool7J7w0qBy8tZX055+nPptrKEl3a6YY8BWoW4gqw4jwpkvXYhXXTNHgLf6/6eQEEyxqViAjg92jIzPWYPgZUCQwkGFSEXMGrXoY+mbI21i5ziyDWH8gbrluekvZVX/UV4g8ClAKCuHQnzML+FpY1u2SPga0kerPMmj80... | A _ { m } = \frac { 1 } { 4 } \sum _ { n = 1 } ^ { m - 1 } \sum _ { s = 1 } ^ { m - 1 } \langle 0 \mid { \alpha } _ { m - n } \cdot { \alpha } _ { n } \; { \alpha } _ { s - m } \cdot { \alpha } _ { - s } \mid 0 \rangle |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAGOElEQVR4nO2a27WrKhiF5zpjN8ApgVUCqwRSginBlIAlaAlaQixBSgglhBKkBM6DNzRqyPJkM0YG31Ni+C8wuZsvCx+MTLzKvc/Bp/KPV6n6Rx0Lc9jBx+IjgD4rc6j9Djv4YP54lDE5PdZ8hx18MD4CsKNBDjv4YPzWgMjbiAIEJgoQmChAYHwFIEcDHXbwofgJYLQ5Fuawg+OYavhUB8/F4cvnKuJkFBi97hWpJDWC/srBvumryDNThMqGL56rWgyD0BR8+evfYKO... | \mathrm { L } = \frac { 1 } { 2 } m \dot { x } ^ { 2 } + \frac { 1 } { 2 } \lambda \dot { n } ^ { 2 } + e [ \dot { x } \cdot ( { \cal L } ^ { T } \mathrm { A } ^ { ( n ) } ) + \dot { n } \cdot \chi ] - V ( x ^ { 2 } ) . |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAAAgCAAAAACgffeZAAAGIUlEQVR4nO1a63WjPBC93vM1oC1BW4JakEsgJeAS5BJwCbgEKEGUACVACVDC3R8C8xIPJ4uP853cP0kGcTUPPWaGnIjjcM9kY+SBE7w5XmH/6cgA/i7Fh4wOnODN8Qr7/zuSvAZkc+QEb45X2H9oAIEmTY6d4M1xvP2/DmVvzkYdOsGb4wX2/zr9OV+3Bt0/drKlN/fzev5zAoBLGH5as3+NPYY+BZ9XWge81H7DLYSqHvwVByYsl4ZG3VADkiYio036AerAJygDTVr... | \left[ P _ { 2 N } \left( x ^ { 2 } , u _ { i } \right) \right] ^ { 2 } - 4 x ^ { 4 } \Lambda ^ { 4 N + 4 } = x ^ { 2 } \left[ H _ { 2 N - 2 n - 2 } \left( x ^ { 2 } \right) \right] ^ { 2 } F _ { 4 n + 2 } ( x ) . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAIPElEQVR4nO1c25mjOgz+93zTgE8JTgneEjwlsCV4SnBKICVACVACLgGXACXgEnQeuGNDyG1yMpv/KbGEwJItyULJL8LDYWpI8Mff5yXxz8p4er9bfBklDvkWR+7ud7dXw6/wDrC/G3anOxxtAfwqxQbLH6HvdLPXw8oOyNV99G8tcgkYtqV/yDvut1fDigHS6FbB+eefHEgZagEYiXqDVzlz6+1eFmEDpEzeKLf+ivjX4VBzMMDlvN5UsdoMET8a4RjwKW91yimXgIE... | i \left< \bar { A } _ { \mu } ^ { i } \bar { A } _ { \nu } ^ { j } \tilde { \bar { C } } ^ { a } \tilde { C } ^ { b } \right> _ { \mathrm { b a r e } } = - 2 g ^ { 2 } f ^ { a i c } f ^ { c j b } g _ { \mu \nu } . |
"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAAAAABJ1JBjAAALIElEQVR4nO1d63WjvBbdk+UG+ErQlKCUIEogJUAJUAKUgEowJaASrBKiEqISdH8ANqAHj/gxN2T/yRoLS/LR0Xkf5o/BAaEUCAG0BGj06s28Fm+v3sBrID+y7o969U5ejT+HlADgumgZoJr81Tt5NQ4qAVTOGgCCPWMxLvcOPgGn1y7/OqQfOYFK/Q9I0DstpUg/o759xuaDDXuNMXJMCaAiJKQKPsIzcv91s1gDgKxia0h/aOuzZ+CYEkAwIM9y+C+d4O3dbySFogk... | \frac { p } { 2 } \left[ 2 \left( 3 - q \right) - p \right] H _ { I } = m _ { 0 } \sum _ { j = 1 } ^ { N } \left( \frac { m _ { 0 } } { \vert E _ { j } \vert } - \frac { \vert E _ { j } \vert } { m _ { 0 } } \right) + 2 p H _ { 4 } \, . |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAEG0lEQVR4nO2a7bWqOBSG33OWDWRKyJTALSGWgCVoCVCCliAlYAmkBFMClHBSwp4fCRiSKKBw7zDDs5ZLPebj3fnY2TucL8JSyPwsFmt8NLulGt5zqKXansJiBlaQxVJtT+H7TwtYms3AtbMZuHY2A9fOZuDaiRnYzNO0fvrLZZ4OvEbj/X0RcLNBI0sEAOSXOQLwPZTmPDlHfsozNroZ5cgWCLQ66Pwca/aLAKVzVTJAX1By4C9Rju7/HS5W26hsQ+lTUzIASkpCoNW... | B _ { \varphi } ^ { \prime } = - \frac { 1 } { E \Psi } ( 1 + E B _ { \varphi } ) , |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAAC+ElEQVR4nO2X3ZmzIBCFz+ZJA7RAC34lmBJMCW4JUAIpwZSgJWgJWoKWEEuYvVCQP5Vvb7IXOTcGg++cQcABFEi5rVfY4z+kvOavaXuusF7HUd8RboxXmR5zg+zA0mi1qFshiEiIVqkTVzoBk5JqfVfiPKQPMTd8WBKtbzmKlohq8Ko9cXXBopmt1yGHK44OidIQ0w5gEdo8+X2yXIDlAHg5lvmZqzURnZCogwEZ8/NBcyGmHcJCWhvDM7yIesM7cLUm0OsePELL+pj... | \phi ( \tau ) = \phi _ { c } ( \tau ) + X ( \tau ) |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAAC3klEQVR4nO2Y3XWjMBSEJz40oC1BKUEtKCWwJZAScAneEqAEqwQowZRgSkAlzD5YgLCu+UkedvecnSc892N8I+sH8kZs6lOX29AX2F3KdjDG7s87wu7S244R/KM6LT65nylR193utJSVEg9p2aDOE+Bs9MfeMIEVEo8pAwDXweQAYMxUCJ7XxqnNlAccs2NklPg1vRE4+wo/7gre+WkJjl64XNcMj2xw4sQ1+bOCt/Jgk1c9kLYiS5qGD00eSVNxoeG+/BzDgR2dKHF... | \theta _ { a } ^ { i } \theta _ { b } ^ { j } + \theta _ { b } ^ { j } \theta _ { a } ^ { i } = 0 |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAG5ElEQVR4nO2c25mbOhRG/5lvGlBKUEogJcglMCXgEqAEXAKUACVACagEKAFK2OdB3BEgxiI45/N6SWzk7YU2uoLng3ACqYTPzghsnctNP85IQH4vbyw5IbB1rjc9JQE34f7m5QmBrXO96RkJyG8ll4zbD2ydFzD9OiFmyjmcE+La5wVMP0+ImYoTgp7CC5iekIC8+Tcu/9cwPSMBV7dqY17B9IQEyBc4LTNewfSMFnB9x2rIK5jaT8ArtGszXsL0jAT8CysA4DTTW36... | \delta L ~ = ~ \int _ { \Sigma } { \cal L } ( x ) \delta x _ { \mu } ~ d \sigma _ { \mu } + \int _ { \Omega } \delta { \cal L } ( x ) \, d ^ { 4 } x \quad . |
"iVBORw0KGgoAAAANSUhEUgAAASAAAAAgCAAAAACXn/roAAAEYElEQVR4nO1Z3ZWzOAy9mTMNeEvwlOApwSnBXwmkBCiBlJCUEErAJcQlQAm4hLsPZoIBh5/Mty97ch84DEJXiiwLyXMgJnAeGgDgHZSYSrfjRZ6/Zf5v4XP+6Fp1AgAKe/kV9Ys8T9Sc9U6Vv3LIVVgg8GcB5LPH8wApqZwGcBVa/8adF3meqZ1vwNfSD1yFjf/ws+QsjEZRGbRy9PhjxuOFcgBa6dQvvHmZ54laW1nAuN84FAe8mNu9akBVgBsb+QDgj1+H7+PxePw... | F _ { 2 r + 1 } ^ { M } = V _ { B } ^ { M } \oplus V _ { B } ^ { M - 2 } \oplus \cdots V _ { B } ^ { 1 } ( V _ { B } ^ { 0 } ) , |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAABACAAAAADn1PsTAAAIXUlEQVR4nO1d7ZmiPBQ942MDeUtgS8iUgCWwJWAJoQQsAUqQEkgJpgQpgZSQ9weiIl+5Cag74/nhjvNMcnJzSXJzP9gvg9+Fqgqf0sayo8W6HsPX71KwPjAtw3T1NpYdLdb1BMyvQlQbc0a2QJu69iCve79ZDb9MwRDGmDD0b1OndAXfOsoy9+EQsbltF/uvr6r5MVl1z1gaqrL5q0amYwxAB6T+B9skMfMgj7VyHg4Vd8oWQftDKTL6A/oanAQTNn93k6nEiczy2Ea... | { \frac { d \zeta } { d \varphi } } = A [ 1 - \varphi ^ { 2 } - { \frac { \epsilon } { 2 } } { \frac { 1 - \zeta ^ { 2 } } { 1 - \varphi ^ { 2 } } } + { \frac { \epsilon ^ { 2 } } { 8 } } { \frac { ( 1 - \zeta ^ { 2 } ) ^ { 2 } } { ( 1 - \varphi ^ { 2 } ) ^ { 3 } } } + \cdots ] . |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAHWElEQVR4nO1b7Zm0qBI9e59JgL0ZkAIbAhuCEwJvCBiCHYKGoCFgCJjBbUKQEGp/+N2idov9Pnfn6fNjxummyuMBgSpq/iC8A75y8Il8i++rUXe/OD9l/cdbBEydkvCpL9/hvEfVwDF97qkXqOubSuAal4kz5nQ9Wqm6C67f4L1HqYkoYe0FrjJYIiJ1ytl/4ntwhb+RdxfJzb/BfYfqVgPcNxe4apgAAObrE8ZvEDBtev0gccXzhaGSUy9cCHU3V3ucmg8ueAWWuEM... | e ^ { 2 \phi } = ( { \frac { Q } { \pi ^ { 5 } R _ { \infty } ^ { 8 } } } ) ^ { 2 } \cos ^ { 2 } \big [ { \frac { 3 } { 2 } } \cos ^ { - 1 } ( { \frac { R _ { \infty } } { R } } ) ^ { 8 } \big ] . |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAABACAAAAADn1PsTAAAGhklEQVR4nO2b65GcOhCFj7c2ATkEHAI3BG0IOAQ2BAiBCQFCGEJAIaAQhhAghL4/JN4CBMyuZyl9VR6PQajP6eYhifEvwuvyYdoY8e+W8aN5/9cC1mD5uJwCQoK5Au/hl+EKrjKAf1EaG7Adjf+rWOmNNslb/vDMrb9Stg2b1v6NQDLBU+Pm06SJV+xpXwB81ke02PyrZNtgZe0fCDQXmD1Odlve1V+zHXychaRe7ycCZvWMFo85LduCRWfa2qqjJwrUOhQrQUFEZcR... | D _ { ( n , j , m ) \, M ^ { \prime } } ^ { J } ( h ^ { - 1 } g ) = \sum _ { m ^ { \prime \prime } } D _ { ( n , j , m ) \, ( n , j , m ^ { \prime \prime } ) } ^ { J } ( h ^ { - 1 } ) \, D _ { ( n , j , m ^ { \prime \prime } ) \, M ^ { \prime } } ^ { J } ( g ) \; . |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAExUlEQVR4nO2a65WqMBSF98yygUwJaSG3hFgCloAlQAlYApQAJZASTAlSAinh3B8qykujSe647sr3a+aAOdtNcvKQL0JAVKVqGTLB6/iW9BXUQKhtz4ImeB3Pkr49trWAFp/mn29JoQ38sAEM75ICG6gE0OmwOV7Es6SwBmojcdB5FTTJa/iWFNZAJdgh5eqT6qBvSWFn4R1n6Se5B/+Swhr4w6V8pWZrEUzKlUeSLul1DgBIUpv2ghqo//RmWyT2H3hbjfV3fijprfQ... | \Omega h : \ J = \; \frac { k } { 2 } \; g \partial g ^ { \dagger } \; \; { \longleftrightarrow } \; \; { \bar { J } } = \; \frac { k } { 2 } \; g ^ { \dagger } { \bar { \partial } } g \ . |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAAClklEQVR4nO2Z0ZWrIBCGf3O2AW4JbAmkBCzBLYGUoCWYEpIStAQsQUqQEqSE2Yfs2ZjcJIKKmwe/Jw8O8APDDGJCiEdxfP7Ot9+PRZQ8QS7QRhJzBpdg99cCxnh7gVF98AZ3tLwMr7aaD7pUqSn1Igvcm58HXeM0qYW4PujMiTQ0VRBnd/j3NaUNiomWRDl60kKjoh6n8CbibhIpASMYxAlgYNKGNxE/zBgBMCGYgzMTUkv0MGOcAABURW3VWwrERaBsp9WPLtAycVs... | \epsilon ^ { \prime } = \kappa ^ { \prime } = - \frac { \overline { { { { T ^ { 6 } } _ { 6 } } } } } { 5 \alpha } \ . |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAJM0lEQVR4nO1c7ZmzuA49e59twC34luApwVMCU4JTgikBSoASoARcAi4BSsAlaH9gvj9CMnk35FnOnxkSsGXJko9kE9BpkHDIkhoNpt8tygfhfzgLjK0q921Dl6k4fLcwn4O/6N0SdPhREu7LqQiI0+rd0nwMzuOBDgBLHAOg6ncL8zk4jwFhANQstgDku2X5HPz9bgF6iNgxZ8uf70yG6t3CfA7OY8AIqVMFK27fXAfvFuZzcB4Sc+EpnGgNvPAMLgN+OC4DfjguA34... | \log \, Z \left( \beta \right) = - \sum _ { \ell = 0 } ^ { \infty } \left( \ell + 1 \right) ^ { d - 2 } \log \left( 1 - e ^ { - \beta \left( \ell + 1 \right) / a } \right) . |
"iVBORw0KGgoAAAANSUhEUgAAAsAAAABgCAAAAAA2x5v0AAAQbUlEQVR4nO2d67mrqhaGv3We3QC7BFYJzBJICaYEU4IpQUvQEmIJWkIoQUqQEjg/vKGC0RiTabbvn7mWQQeXEeTyDfJH4+CtCPbpHHwV//t0Br4McTld84nr+d/03Vn6bg4HfiniR9HoJN3XOaUfyNYXczjwS1H+LS5JNHE95+/P1Tfzz6cz8F1QHyAMwFkxruCNrktCkefh53L4bRwO/FIoAEgPkjKRi9voOgRHJL5yFKHIR8z+OVYhXs01v0MR4BqQ0XVcwcg3DiL... | = { \frac { 1 } { ( d - 2 ) ! } } \sum _ { k = 0 } ^ { \infty } C _ { k } ( z ) \sigma ^ { k } \sum _ { n = 0 } ^ { \infty } \left( n + { \frac { d + 1 } { 2 } } \right) ^ { - 2 z - 2 k } \left[ d ^ { 2 } + d ( n - 3 ) + 4 - n \right] \sum _ { p = 0 } ^ { d - 3 } n ^ { p } w _ { p } ^ { \prime } ~ ~ ~ , |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAABACAAAAADXbpfDAAAIiklEQVR4nO2d4ZmjKhSGv73PNsCW4JTgLcEpwS3BlIAlmBJMCbEELEFK0BK0hHN/oAkqZETNODzX78+uSA5v9HA4gE5+Ed6gpmHhO+x+h/xlP4T89xtsdleJMk/eYPn98pf9IPJ3OFAqqw8EbzD8DfKX/SDyNzjQ7XZHhmh/w98gf9mPIv+1fw700bW72/wu+ct+FPk/u1ssGh87sJK/7IeR7+9AJTydxMBn9sPI3+FAvvZin9kPI989B2o+mK9phMfsx5HvHoH87cQ... | J _ { g } = - \int { d { \bf x } \, \Pi _ { i } x _ { l } \epsilon _ { l n } \partial _ { n } A _ { i } } + \int { d { \bf x } \, G x _ { l } \epsilon _ { l n } \partial _ { n } A _ { 0 } } - \int { d { \bf x } \, \epsilon _ { l n } \Pi _ { l } A _ { n } } |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAAC3UlEQVR4nO1Y0XWjMBCc3EsDakEt6EpYl8CVQErQlWBKMCVACaIEKAFKkEuY+8BgCCvbxE6+bj7sPDOeGRbtSvEbsQt1meX7vvEM6jJ72xkQb0G+JUvK7dfObzT4yXwN5LGA3TC9N6/LN4neIDSCRwJ2h6GoAXSHrqzdC6ItRW8QRjeSbEMIIbTU0dpIcySjrUiEBCuNePJVUjTJmNzGgJWFEYE9aQbiyZakF7LF7nxV5jNkKdEkY3K7GAoysgWO3KC9FC2aE3mU3QF... | R _ { a b } { } ^ { c d } = - \delta _ { [ a } { } ^ { c } \delta _ { b ] } { } ^ { d } |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAAAgCAAAAADvIPRJAAAHOklEQVR4nO1a63mkOBCsu88JKAVdCNoQ5BBwCDgETQgQAoTAhIBCgBAgBAih7gcvSYgZ8O3Zu/u5/+x6qO6u0qslARi3RgPpcPDwEF1onTZkZ7TpSDbZ8rw4G+m/sPhUW6jVqU6yjo3RWUOe1fwxYee8fBQOUElVG5izmVe0QUWSqSHJJt2SBqGK5lrcz7Huwjh0JGckWU9iH2iOel+yc14+6qCDi5pkKk8m3tAGNckqIclBOYPN1K7DI+0fZvETLKvOIjdqGg1JZgX... | d s ^ { 2 } = e ^ { 2 V ( r ) } \left( - d t ^ { 2 } + d z ^ { \alpha _ { i } } d z ^ { \alpha _ { i } } \right) + e ^ { 2 U ( r ) } d r ^ { 2 } + N ^ { 2 } d \Omega ^ { 2 } . |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAGyUlEQVR4nO1b0ZWqPBfd3nUbyJQQK/hWpoRQAlMClhBKwBLw5XuHEqAEUwI08K9FStj/Q0B0vCooMHo/94sOA8lhe8g5OWezIp4ANq+lCn/airvw66cNAAB8ykx97X7airvw+6cNAAAUGiHcT1txFxbzwDI++qPe9YeDHaBhvyKzlCmTYk4C89VqtVrtAMB9xRooN5/rYAtA1J+5P0fVpQQQb6ycatpyXU411BBwVuxVSpKNikgaJGwMDEnukfozDBqSZIVkkhmrECg... | F _ { ( J = 0 ) } = - \frac { \zeta ( 3 ) l ^ { 3 } } { \beta ^ { 3 } } \frac { 1 } { \sqrt { ( r _ { H } + \epsilon ) ^ { 2 } - r _ { + } ^ { 2 } } } ~ , |
"iVBORw0KGgoAAAANSUhEUgAAAgAAAAAgCAAAAABBIJ85AAAHN0lEQVR4nO1b63mrOBA9vl8a0JagLUEpQSlBKYGUIJcAJUAJUAKUACWgElAJsz8kYV7mFdubu3vPj8SWYc7MaKyZkfCF8FJYsNcSPh2/uUW/XsZkqgZAYl5G+HT8Jyy6vGoFqD5kJZUp2hfxPR8/36JGbF/z9nw1HIpa2KRA/iq+5+NHW5RlXP2sABACLH4V2Uvwoy0ypSnsHu0GKcBXM9byweeVfLBmN7oRzxOJfkdMnHMcxt+/6dZfwLiaMYm/tbgaAOz6PUXuaxh... | \tilde { \varepsilon } ( \theta ) + \varphi \ast \tilde { L } ( \theta ) = R \, m \cosh \theta \; , \quad \tilde { L } : = - \ln ( 1 - e ^ { - \tilde { \varepsilon } } ) \; . |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAACH0lEQVR4nO1VW7WkMBCsO2cMxAIWsJArgZUQC70SGAmMBJAQJICEICFIqP0gPC8w7DDn7H5QP/QJ1UWluxO+CJRlrSKgTTQ+gBrxR5kkSaQkvTb8ANKNdXeYOcMNAEpoACp/lm/X7TW+i7fSOoMqBgCl39M4hDJ5b/c3AKj74WvC41nUb2i1RQHUMcq1fT6lV3/FXIAMI0hSJSRJMZ7ycjjsCN+tCJVjSopemUDDatTcYy5wRz+CQNPGAPAo3JF61e0QRgoAnqZpFQD... | { \cal { D } } \, e _ { A A ^ { \prime } } = \psi _ { A } \wedge \psi _ { A ^ { \prime } } , |
"iVBORw0KGgoAAAANSUhEUgAAAqAAAAAgCAAAAADoeJXoAAAIH0lEQVR4nO1c65WrvA7dmTUNeEowJTglOCWQEqAEKAFKgBJCCbiEuIS4hLgEfT8wb/NI7px7ss5i/4EolrUly0Z2mDkRDnwurAbnu8X/Ir7+NoEDa7D5xewX/4s4EvSjwQXEfvG/iNPxiP9Y6BzW4r5T/I/ij66g5eWS/sn+fxefxtZexC3Rsv2o4kuq5mLAxNVAq0rtRr+f5uc6vgDApOfgEpe/16s6pQAQcjX7Kj6dgrl0iOvpdHXXJpD76DmbM20PgRbjOs7Hdh/... | S _ { e f f } = - i l n J + N S = i N t r T r l n \sigma + N S + i m L ^ { d } \delta ^ { d } ( 0 ) T r l n \sigma = N S _ { 0 } + S _ { 1 } . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAAAgCAAAAAA+x/A5AAAD5klEQVR4nO2Y0ZWjOBREq/tsAkpBKSgFTQikwIYgh+AJgQ4BhwAhiBAgBAih9kMIBC3JzPY5q4+lvmy6Xr0rP8mGBne1qt1eN9W4vupM/ZxzhoT0MxL7ViNmsjWVGcMOCYac3vD9ezoH9zO6oBikrderag48VlqSZK3audYZQ0roYrFeuotXmZqsVDcqMe8dkgw5HfnO/fJ0KZl6g7tOF1vqDgfSVCTJThyLW0GSRsxkB5s0pGTBaGyGiiRlS5qO7NBtHTIMOR34Tv3... | t ( u ) Q ( u ) = \phi ( u + \eta / 2 ) Q ( u - \eta ) + \phi ( u - \eta / 2 ) Q ( u + \eta ) |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAGCklEQVR4nO1b23WrOhDdOSsNqAWlBKUEuQRSAi5BlAAlQAmmBOnn/qMSUAlWCXM/eBgfkA2GkPgs7y9HaB5sRtJopLwR/hG4ApHY3+z7XoZsAgD62/S7o2QHpTbSZhMAIp3TlXaChvxe/RWR2tKEhprTbbcIBLYeX65s482WgJIA2L88hDd/N39wDYFZcWLWMxjY04b65bxuuxHItlaYdT+KSIADKLhN1OZm7uHP3ga3ggNvf/HSAwBOaZWZ3f14WgKTfsE9sU8LOAC... | M _ { 1 } = M _ { \mathrm { k i n k } } \left[ 2 - \delta ^ { 2 } + { \frac { 4 \delta ^ { 3 } } { \pi } } + O ( \delta ^ { 4 } ) \right] \, \, . |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAAAgCAAAAABxmvPpAAAFhklEQVR4nO1a3XmrOhCc5EsDOiUoJeiUoJRASpBLkEvAJUAJUIIpAUqAEqCEuQ9gLIEl7Osc2w+ZF3+G2Z2VVlr92G/Es9GVQ96Kh8kN5U5Z/Ti9O/Hx7ACAPMUj+0tomORxcvfi/dkBAGoH/Ui96rFyd+IFEqSHv8Mj9RopHyl3J2IJurLbtmlrRnd+2nylZnez+2GL4IpVg0ur7p1A3Z32CzR57O07ABw+v/df+70vPOw6ANjvvmPdB2DYx7tocuQg/8xnu+ErlbK... | S _ { i j } ( \theta , \sigma _ { i j } ) = ( - 1 ) ^ { \delta _ { i j } } \, \varepsilon ( \sigma _ { i j } ) ( \sigma _ { i j } , 2 ) ^ { I _ { i j } } \, , \qquad 1 \leq i , j \leq \ell |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADRElEQVR4nO2Z65GjMBCEe6+cgDYEpaANQQ6BDYENAYdgh4BDYEMQIUAIEAIKoe8Hb5uXljXcVdE/XBgN9sdYmmnkN2Jn5UJMDf/ZimNU53RyeHfAr3x6/LQNxqjO8UzA3hkMrjMBe2dQzwXsncFZHYBrdQCu1QG4Vi1gbAE7V9dfoYW9OD0L4H55Oc6jLOzkeAuo6xfAfrxP3xbSC2A/3mca/RJ5nG52JyC+WwOkCkAcAQAuaaLGLqhyHJ8DbT4+zaSX+xWRkZYkpSE... | l ^ { \mu } ( \tau , \vec { \sigma } ) = { \frac { 1 } { \Gamma ( \tau , \vec { \sigma } ) } } |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEVklEQVR4nO1Z23WrOBTdyUoD55ZAStCUoJRASoASRAm4BCgBSpBKQCVACVDCuR9gzMsGWTNhspb3j21Zj32k85TeGL7IDYUSyBuEwnsyd7Av0owLUqw0c1F7z+YMfwEUM1ckKmbmzHs2Z7x7H2EAQKTWAkDnPZsz/AXoADQmS0rAkj8hV7x5G3F3oQ6KTCyI0n+Dkhv8BTgZ/ip0Ml4CnI0Pj7Fms1V6zPgEfIz4s0EY3H5aNA2ALPIm5QSPIFgBQTtraQuJwC+yumI... | L _ { n } ^ { \pm } = \sum _ { m = - \infty } ^ { \infty } \log \, ( \lambda _ { m , n } ^ { \pm } ) . |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAAC7ElEQVR4nO2X0XWjMBBFr3PcgLYEtaCUIJeAS2BLgBKgBFOCKcEqAZUQlRCVMPuBiSECErLs5if3xz4PxBtpRiM4CP8a5wsA74zW+z/9ae8Hxros3URxDoinWrvnZm83QHaG4qWiS+Q8E5FKvextJ4e9S8hZOBQVTQDA2pJcE39dM/oLO7N7CVkIZJShjfgWULUCjypdiY1723GkjpiM0MCwOqnyMb4PTRngfDEUyhX6lFUQtQKg8a4iQhMqwNfXeaet5kf02RSgQts... | { \cal U } _ { i } { \cal U } _ { j } = e ^ { - 2 \pi i \Theta _ { i j } } { \cal U } _ { j } { \cal U } _ { i } . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAGYElEQVR4nO1a752jKhQ9+35pgBZ4JbAlMCWYEpwSsAQtQUuIJYQSQgmhBCnhvg/GfyjGzLLP3Ynny2REzwGOci9XfxBiwrGodG+Af+LSnXVcvu+PuAYUx/y/iqgGWBOT7T0Q1YAqjcn2HohpQJFEJHsXRDTAQcQjextENKBQ8bjeB/EMqN9kAbJx6U6xiJx9CwNMzY29RNxu/gjshC1/kaiyAFyVsvTVKyPihV6/PMAW55Lh013iiSwb8FWf9cdVvnxRNLzQ668O0P5... | d s ^ { 2 } = - { \frac { 4 } { r } } ~ e ^ { - r } \; d u \, d v + r ^ { 2 } ~ ( \mathrm { d } \theta ^ { 2 } + \sin ^ { 2 } \theta \mathrm { d } \phi ^ { 2 } ) \, . |
"iVBORw0KGgoAAAANSUhEUgAAASAAAABACAAAAACfa/WyAAAGrElEQVR4nO2c0XWjOhCGv+zJOfdZW4K2BKUEpQRSAi5BlGCXACWYEszzfTIlQAmohLkPYFuAs8bGxM49+R+yGP8aDWNpJP0S+yI8ArV+SLU34NdDal2tHlLtLXhIgIr8EbXehocEaBM/otbb8Lqs+TwCSEoAjIo0QOKKZWu9JxZtQf7tA4D11hfGOTZ/SqD2dslK74xFW9Cm7C6UItZYvUp2sHFL1nlvLNmCan+8LJUGLDXk6tsM8QDIcoiqg/kGKyJSEYu04VHrBSu... | d s ^ { 2 } = { \frac { 4 R ^ { 4 } } { ( r ^ { 2 } + R ^ { 2 } ) ^ { 2 } } } ( d r ^ { 2 } + r ^ { 2 } d \theta ^ { 2 } ) , |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAAAgCAAAAAAJJf1IAAAEmElEQVR4nO1a0ZWjMAyc3bcNuAVfCd4SSAlsCU4JUAKUACWQEqAEKAFKwCXoPgzEgAgOm+Tu3e38JGBJIxTZlkzeCD+4jU5+R/v9UW78q8h/5d/S/ziu2qhvMd9JZgBAfiuZjsDoi49Yg61gHA9wLl4Z4EsDAKF+ISUAQPiJqVhuSB4OcNdkR1WPIHkl2QHoc8EPHF6Dz9FRzX8SUmwsJR8AUA1Cd6xwlbHCJu9EEPjppFoA6NLd1E8RAV21WA/yxfXd1B7MlhrxcHU... | D _ { \lambda } = \left( { \partial _ { \bar { z } } + ( 1 - \lambda ) { \bar { A } } , \partial _ { z } + ( 1 - \lambda ^ { - 1 } ) A _ { z } } \right) |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAACMElEQVR4nO1W0ZWrIBQc96QBWuCVwJZASnBLsAUswS2BlGBKkBK0hFgCljDvQ92IYh665+zHOztf5ubOOMCAZMQCd6lwECcoAd6CX11/WOAEJUAWzAAGcVjhBGWJYAZu2WGxE5QXBqCPC5ygbA109yz7cD2643naUAb3J7uWZfmefaYpkCQ94EnKhkcRoWjUJFk8kgRGAzUUyQfSOAvEKBhrdZrCmIEOGkCP5C01DAD6KMVBSqBDnqZ0mUgKgH7IQGiGmNf5dncAQNx... | J _ { \mu } ^ { i } = \sigma \eta _ { \mu \nu } ^ { i } E _ { \nu } |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAGp0lEQVR4nO1d0ZXCKhC9vvMaYEtgS8ASsAQtIZZASkhKSEpISgglhBJMCVIC70OjSZiYrBufK3p/PEEYBi4wA2F05fAmMLFGlLBnq7E0Vm9D4G7LdKqSZ6uxNN6GwJxLYK8Pz9ZjafzzbAUeBQOY7rOUAFhwK2ioBOYrbTZr3UnhAGDlk/R5HP59tgKPgQQvq9Uw1ZrqGco8FIESqJlJNCQ2bUIiAKRZeEtooAQaRNASEG0CA5BLcaPIiyJQAnXEoSXQ3TXkkIANbQ6... | \Pi _ { n } + \lambda \Pi _ { n + 1 } + g \Pi _ { n + 2 } = \sum _ { i = 0 } ^ { n - 2 } \Pi _ { i } \Pi _ { n - i - 2 } , \qquad n > 2 . |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAAAgCAAAAABxmvPpAAAFPklEQVR4nO2a35mjLBTG32+faYAW2BJogS3BLcEtgSnBLcEpwZSAJWgJWgKW8O6FYBTQicnM8+Ui5yZIOL/3yEH+mIAPmwUAwDxOel7FR+3+iP8jHrWpBwBI+TDpeRUftfsj/oIEvew77S0U2rZQvjj2RbbtpR+lKNJBsKofR30ygEXsjOteJI9Av5YZ03L0XizX+/AfodD+XUof2fxcfr7LUk8/f08H9XL8+Dz4tV3FbnFtp6NI7oN+BzOm5env/S3wsBgp4QuN8gW... | \phi ( t ; \Theta , \bar { \Theta } ) = q ( t ) + i \bar { \Theta } \psi ( t ) + i \Theta \bar { \psi } ( t ) + \Theta \bar { \Theta } A ( t ) , |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAAAgCAAAAAAJJf1IAAAFiUlEQVR4nO1a7XWjOhC9yUkDakEtaEtQSmBLkEuQS8Al4BJwCaIEVAKUACXc9wNwwAgknGTPedm9fwgy88HVzGgk8kL8Qzp8Zed33kQlXr/PmR8If53zC6XOUZF/BB9Af8rHv16Gi0IVkwkQ7C+Lu+un/foxuCjxMGJOMZk1wU+kwd+Cm34ckb2PyKwIfiYN/hL07WMAA+oWEXp7HAikwXvzCa9+EIZg9WcA+CWAzABoI0Irgm/544jsvfoC934KhAJQaQAy5fGJ4Mr... | \, G ^ { ( + ) } ( 8 ) : \, \, P _ { \pm } , \, \, M _ { 0 z } ; \, \, M _ { 1 2 } , \, \, P _ { i } ; \, \, G _ { i } ^ { ( + ) } |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEHElEQVR4nO2Z23GrOhSGv51JA2pBuwROCUoJuARcgigBlwAl2CWgElAJpgRUwjoP2DG+y8CY2TP+X5IoWj9a0rpKyDJoDGTdDER/hEWwSpXb2GI60UIKVNrA2u2nM31PpxgDowGlZmD6moFjBDRAMDMwLXQCAMHXM7AsdAIAm3IOE1oqCh38eDoWO4EKA2E6z1InUPkUQsgmE71fgbBrVeZ/AOgUwYeQ4VyajOSbIZu/hK3e7lV6+ntvsZIlpPdFHuLdYbRaNwmqPQ1... | p _ { i } = - E _ { i } + \frac { e ^ { 2 } n } { 4 \pi } \tilde { A } _ { i } |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAABACAAAAADXbpfDAAAKg0lEQVR4nO1d3XmruhJd2d9uQLcE7RJICUoJpARSglyCXQIuAZcgSoASoAQoYZ0HBAiQMCQ51z47rCfbstboZzQzGgn7hTiwB+17Dn1+dCueB78e3YD/Gi4pzeX66FY8Dw4F2oc6kVCqfXQznge/H92A/xgkgLaOH92M58FhgXajPWn56DY8Dw4F2ov6lH+cHt2I58HLsQvbj/e8eXQTngaHBfoEkiOIHnAo0GdwxEADDgXahzYHkCePbsbz4IiB9qF8VXEL/ehmPA8... | \sum _ { \delta } \eta _ { \delta } Q _ { \delta } S ( q _ { 1 } , q _ { 2 } ) \langle \psi ( q _ { 1 } ) \cdot \partial \psi ( q _ { 1 } ) \prod _ { i = 1 } ^ { 3 } k _ { i } \cdot \psi ( z _ { i } ) \epsilon _ { i } \cdot \psi ( z _ { i } ) \rangle _ { \delta } = 0 . |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEbUlEQVR4nO1Z27WrIBDdues0QAukBG8JWAKnBFMClqAlaAlaApQQStASpIS5H2qCjxyN0ZN118r+CZIRZoZ54olwLErB1pC5b71t/T/bXlsNd0lX0X2bjRscLUDpyjVkqd26wdECpLzOx3M2nMzYYOsGBwtQcoWJDbmJucTZ5h0OFiBXEasXzTtWqxx9FscKYGuBaHoEIxiIF/agIxFlRA1wHc7q4aaNaIjEVkaGJ2DD0+niXlDHEHUZASzC3Y2NMcbY/qfFJVltQHP... | \kappa _ { D - 1 } ^ { 2 } = - { \frac { \Delta + 4 } { 2 \Delta } } Q \kappa _ { D } ^ { 2 } , |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABgCAAAAAAxn/pVAAAJLElEQVR4nO2c23WrOhCG/5yVBnRK0C5BKUEpgZSASxAlQAlQApQAJaASUAnQwFlrzgM3YXOPHWJvvofYscWIaNBoNKPJG+HkPuiPgm+/6p/738jfCvd3jD/ezhlwN8weBZwz4F4k/0Z7LjsVcC9kJfdcdirgXmQ4FbAR/fH2Od/CJPVr5VXL0prxN9mmm/ibFSByZ75BFjUNPoNl+56J+pWbTWvB36wAYN5tSTy/fhOF/vJjraWp37h6iwb+bgXMYi5x804IdfWdvrF... | g _ { n } ( \lambda ; \nu ) = e _ { n } ( \lambda \pm { \frac { i \pi } { 2 \mu } } ) = { \frac { \cosh \mu ( \lambda + { \frac { i } { 2 } } ) } { \cosh \mu ( \lambda - { \frac { i } { 2 } } ) } } \, , |
"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAAAAABJ1JBjAAAJ60lEQVR4nO1c65mrKhRdZ77TAC1wSmBKwBJMCaYELcGUoCUkJUAJWkIoIZSw7w81QQVjXmOuk/VnJoKAsN3sB8s/hDXC6njpIbwNaoiJ0q8fG8dPwm740kN4H7BNPVG6SgGwUTIl9L8MvNjacOkqBWAjPxuAAymjcOGfFdoA2aFiw2umtCx5j31BR0oCAGrnxRTMKYCpYwDQkLc2bozvln9xHrrh7609vD/0To3Wv8yUKL/VW20M9rtdX2MglFuidQ5A73R6swBwXSb... | \{ S _ { \alpha } ^ { a } , S _ { \beta } ^ { b } \} = \epsilon _ { \alpha \beta } \; \tilde { \cal Z } ^ { a b } = \left( \begin{array} { l l } { { 0 } } & { { | Z | ( 1 + \sigma _ { 3 } ) } } \\ { { - | Z | ( 1 + \sigma _ { 3 } ) } } & { { 0 } } \end{array} \right) \ . |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAEJUlEQVR4nO2Z4ZWqOhSF97w1DeSWkFdCpgQsAUtwSoglQAlagpYQS4ASoISkhH1/kACCgDrMRdby+4FodkIOSU628EG8Gi5HNF9rn/M1NRPHVDp3UnM19/FqI1h+GYX9uZirvZcLMC0PgPszW7deLkAAQPn/bN36b66GZuUYz9bU6yUZAOXRzNbWK46g2+rZkmgI8PLt/A/5fqJGI/0l3Ebp+VqrAtzv5dfFN5+PV2hJfwe3UYcZm/sEgG+RQW3NPfPiAelzVPGl0Vx... | \hat { G } ^ { + } ( z ) \hat { G } ^ { - } ( w ) = \frac 2 { ( z - w ) ^ { 2 } } + \ldots |
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