Supersymmetric theories with compact extra dimensions in N=1 superfields

TL;DR

This work develops an $N=1$ superfield description of 5D SUSY with a compact extra dimension by promoting the radius to the radion superfield $T$, enabling flat and warped geometries to be treated on the same footing. The authors study SUSY breaking from the radion $F$-term, showing that in flat space it reproduces the Scherk–Schwarz spectrum with gaugino masses $m_n=|\frac{F_T}{2}\pm n|/R$ and a massless $\Sigma$, while in a warped Randall–Sundrum background, boundary SUSY breaking yields exponentially suppressed soft masses and an AMSB-like structure in the 4D effective theory. The formalism provides explicit bulk actions for vector multiplets and hypermultiplets, along with orbifold projections and bulk-boundary couplings, and discusses the low-energy spectrum and AdS/CFT interpretations. Overall, the paper offers a clean, superfield-based framework to analyze SUSY breaking from extra dimensions and clarifies how boundary and radion effects map onto familiar 4D mechanisms.

Abstract

We present an N=1 superfield formulation of supersymmetric gauge theories with a compact extra dimension. The formulation incorporates the radion superfield and allows to write supersymmetric theories on warped gravitational backgrounds. We apply it to study the breaking of supersymmetry by the F-term of the radion, and show that, for flat extra dimensions, this leads to the same mass spectrum as in Scherk-Schwarz models of supersymmetry breaking. We also consider scenarios where supersymmetry is broken on a boundary of a warped extra dimension and compare them with anomaly mediated models.