Supersymmetric theories with compact extra dimensions in N=1 superfields

TL;DR

This paper develops an N=1 superfield framework for supersymmetric gauge theories with compact extra dimensions, enabling analysis of supersymmetry breaking mechanisms in warped backgrounds and boundary scenarios.

Contribution

It introduces a superfield formulation incorporating the radion superfield, facilitating the study of supersymmetry breaking in warped geometries and boundary conditions.

Findings

Radion F-term breaking yields Scherk-Schwarz-like mass spectrum in flat extra dimensions.

The formulation allows analysis of supersymmetry breaking on boundaries of warped dimensions.

Comparison made between boundary breaking and anomaly mediation scenarios.

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.