Five dimensional supergravity in N = 1 superspace

TL;DR

This paper develops a superspace formulation for linearized 5D supergravity, simplifying the analysis of compactification and brane couplings, and demonstrating its utility in supersymmetry breaking scenarios.

Contribution

It introduces a novel off-shell superfield formalism for 5D supergravity in N=1 superspace, enabling straightforward treatment of orbifold compactification and brane interactions.

Findings

Simplified description of 5D supergravity in superspace.

Facilitates analysis of orbifold compactification and brane couplings.

Shows natural generation of mu and B mu terms in SUSY breaking.

Abstract

We give a formulation of linearized minimal 5-dimensional supergravity in N = 1 superspace. Infinitesimal local 5D diffeomorphisms, local 5D Lorentz transformations, and local 5D supersymmetry are all realized as off-shell superfield transformations. Compactification on an S^1 / Z_2 orbifold and couplings to brane-localized supermultiplets are very simple in this formalism. We use this to show that 5-dimensional supergravity can naturally generate mu and B mu terms of the correct size in gaugino- or radion-mediated supersymmetry breaking. We also include a self-contained review of linearized minimal 4D supergravity in superspace.