Radius stabilization and brane running in RS1 model

TL;DR

This paper investigates the stabilization of the interbrane distance in the RS1 model using a scalar field within 5D gauged supergravity, highlighting the need for BPS breaking terms and relating to the Goldberger-Wise approach.

Contribution

It introduces a new analysis of the effective potential in the RS1 model with scalar fields satisfying BPS conditions, showing the necessity of BPS breaking for stabilization.

Findings

Interbrane distance is undetermined under BPS conditions.

A small BPS breaking term stabilizes the interbrane distance.

The approach relates to and extends the Goldberger-Wise model.

Abstract

We study the effective potential of a scalar field based on the 5D gauged supergravity for the RS1 brane model in terms of the brane running method. The scalar couples to the brane such that the BPS conditions are satisfied for the bulk configuration. The resulting effective potential implies that the interbrane distance is undetermined in this case, and we need a small BPS breaking term on the brane to stabilize the interbrane distance at a finite length. We also discuss the relationship to the Goldberger-Wise model.