Twisting Warped Supergravity

TL;DR

This paper investigates boundary conditions in five-dimensional supergravity on an interval, demonstrating how they can preserve or break supersymmetry depending on brane tensions, and connects these results to the Scherk-Schwarz mechanism.

Contribution

It identifies boundary conditions that preserve local supersymmetry and shows how detuned tensions can lead to spontaneous supersymmetry breaking, extending the understanding of supersymmetry in warped supergravity.

Findings

Boundary conditions preserving local supersymmetry are found.

Detuned brane tensions can spontaneously break supersymmetry.

Results are connected to the Scherk-Schwarz mechanism.

Abstract

We study gauged five-dimensional supergravity on the interval [0,\pi R]. We find a set of boundary conditions with respect to which the theory is locally supersymmetric. For theories with detuned brane tensions (\Lambda_4<0), we show that these boundary conditions can be used to spontaneously break global supersymmetry. For the original, tuned Randall-Sundrum scenario (\Lambda_4=0), we prove that the locally supersymmetric boundary conditions are also globally supersymmetric. We lift the theory from [0,\pi R] to S^1 and R, with arbitrary twists for the fermions, and cast these results in the language of the Scherk-Schwarz mechanism.