Supersymmetry and Vacuum Energy in Five-Dimensional Brane Worlds

TL;DR

This paper derives the four-dimensional effective supergravity action from a five-dimensional supersymmetric Randall--Sundrum model, elucidating supersymmetry breaking, moduli stabilization, and vacuum energy implications in brane worlds.

Contribution

It provides an explicit form of the low-energy supergravity action including bulk moduli and brane matter, derived from five-dimensional supersymmetric compactification.

Findings

Effective 4D supergravity action explicitly derived.

Supersymmetry breaking mediated by bulk field configurations.

Interbrane distance stabilized through supersymmetry breaking.

Abstract

We present the explicit form of the four-dimensional effective supergravity action which describes low-energy physics of the Randall--Sundrum model with moduli fields in the bulk and charged chiral matter living on the branes. The low-energy action is derived from the compactification of a locally supersymmetric model in five dimension. We describe the mechanism of supersymmetry breaking mediation which relies on the non-trivial configuration of the $Z_2$-odd bulk fields. Broken supersymmetry leads to stabilization of the interbrane distance.