Supersymmetry breaking and the radion in AdS_4 brane-worlds

TL;DR

This paper calculates the one-loop correction to the radion potential in a supersymmetry-broken Randall-Sundrum model, revealing how bulk matter influences the potential's sign and stability, especially in the small-warping limit.

Contribution

It provides the first detailed analysis of one-loop radion potential corrections with supersymmetry breaking via boundary conditions in detuned brane-worlds, considering both supergravity and hypermultiplet effects.

Findings

Pure supergravity yields negative one-loop corrections.

Bulk hypermultiplets can produce positive corrections.

Radion stability depends on matter content and warping.

Abstract

We compute the one-loop correction to the radion potential in the Randall-Sundrum model with detuned brane tensions, with supersymmetry broken by boundary conditions. We concentrate on the small-warping limit, where the one-loop correction is significant. With pure supergravity, the correction is negative, but with bulk hypermultiplets, the correction can be positive, so that the 4d curvature can be lowered, with the radion stable. We use both the KK theory, and the 4d radion effective theory for this study.