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A more colloquial way of understanding this is to write down the expressions for loop corrections in a SUSY gauge theory. The important ingredient is that in addition to the gauge bosons you will also have gauginos, i.e. fermions in the adjoint representation. To understand how a vacuum diagram vanishes thing about how a gauge boson in 4D has two ...


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ADE refers to the ADE classification, which refers to simply-laced simple Dynkin diagrams and corresponding Lie algebra and Lie group. refers to finite subgroups $\Gamma$ of $SU(2)$, which is related to orbifolds $M/\Gamma$, i.e. manifolds with singularities. See also elementary catastrophes. An ADE gauge theory means that the gauge group is an ADE ...


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It seems to me that this is a real gap in the supergravity literature, but here is what I think the answer is. So recall that the seminal article José de Azcárraga, Jerome Gauntlett, J.M. Izquierdo, Paul Townsend, Topological Extensions of the Supersymmetry Algebra for Extended Objects, Phys.Rev.Lett. 63 (1989) 2443 (spire) first derives the central ...


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You can compute the feynman rule for the $\phi$-$\phi$-$\chi$ vertex by taking $$e^{-i \int \mathrm d^4x L_\mathrm{full} }\frac{\delta}{\delta \phi^a} \frac{\delta}{\delta \phi^b} \frac{\delta}{\delta \chi^c} e^{i\int \mathrm d^4x L_\mathrm{full}}$$ where $L_\mathrm{full}$ is the sum of the free and interaction Lagrangeans and afterwards remove any ...


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Specifically, the word composite refers to a composed form of the ${\rm USp}(8)$ connection $Q_{\mu a}{}^{b}$. It depends on a vielbein $V_{ABab}$ and a connection $A_{\mu IJ}$, see eq. (4.3) in Ref. 1 for details. Here the index $\mu$ is a 5-dimensional spacetime index; the indices $AB$ refer to the $\bar{\bf 27}$ of $E_{6(6)}$; the indices $ab$ refer to ...


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I) The gauge transformation of the real gauge field $V$ reads $$ \exp(\tilde{V}) ~=~e^Xe^Ve^Y, \qquad X~:=~i\Omega^{\dagger}, \qquad Y~:=~-i\Omega. \tag{1}$$ Keeping only linear orders in $\Omega$, the BCH formula reads $$\tilde{V}~=~B({\rm ad} V)X+V+B(-{\rm ad} V)Y$$ $$~=~V+\frac{1}{2}[V,Y-X]+B_+({\rm ad} V)(X+Y),\tag{2} $$ where $$ ...


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Wess-Zumino gauge is a particular choice of gauge where the vector superfield has a particular form and has less components than the generic vector super field. So if i'm free to make a gauge transformation i can choose the components of the chiral super field $\Omega$ in a manner that the sum of the $\theta$ (or any other "$\theta$ component" i want to ...


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So my question is, why can't we mix sneutrinos with Higgses, for instance? Which symmetry would be violated? It seems that the answer is short: This is R-parity. Normal particles (including all 5 Higgs bosons) are R-even and superpartners are R-odd, so they cannot mix if R-parity is unbroken. If it is broken, higgson-sneutrino mixing is possible (and ...



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