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Higher dimensional supersymmetry in 4D superspace

Nima Arkani-Hamed·Thomas Gregoire·Jay Wacker
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Abstract

We present an explicit formulation of supersymmetric Yang-Mills theories from $\D=$ 5 to 10 dimensions in the familiar $\N=1,\D=4$ superspace. This provides the rules for globally supersymmetric model building with extra dimensions and in particular allows us to simply write down $\N=1$ SUSY preserving interactions between bulk fields and fields localized on branes. We present a few applications of the formalism by way of illustration, including supersymmetric ``shining'' of bulk fields, orbifolds and localization of chiral fermions, anomaly inflow and super-Chern-Simons theories.

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Nima Arkani-Hamed, Thomas Gregoire, Jay Wacker. 2001-03-13. Higher dimensional supersymmetry in 4D superspace. https://doi.org/10.1088/1126-6708%2F2002%2F03%2F055

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