English

Higher dimensional supersymmetry in 4D superspace

High Energy Physics - Theory 2009-11-07 v2

Abstract

We present an explicit formulation of supersymmetric Yang-Mills theories from \D=\D= 5 to 10 dimensions in the familiar N=1,\D=4\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\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.

Keywords

Cite

@article{arxiv.hep-th/0101233,
  title  = {Higher dimensional supersymmetry in 4D superspace},
  author = {Nima Arkani-Hamed and Thomas Gregoire and Jay Wacker},
  journal= {arXiv preprint arXiv:hep-th/0101233},
  year   = {2009}
}

Comments

Typos corrected. Added reference to early work by Marcus, Sagnotti and Siegel and a term to the non-Abelian Lagrangian for D>5 formally needed for gauge invariance. The results however remain unchanged

R2 v1 2026-07-22T15:02:24.515Z