Supergravity on the Brane

TL;DR

This paper provides a non-linear supergravity analysis of the Randall-Sundrum model, showing the existence of a graviton bound state in domain wall spacetimes and exploring supersymmetry and singularities.

Contribution

It offers a fully non-linear supergravity solution for the Randall-Sundrum model with a graviton bound state and analyzes supersymmetry and singularities in this context.

Findings

Existence of a single graviton bound state in domain wall spacetimes

Solutions describe a propagating pp-wave in the background

Kaluza-Klein modes induce curvature singularities in the bulk

Abstract

We show that smooth domain wall spacetimes supported by a scalar field separating two anti-de-Sitter like regions admit a single graviton bound state. Our analysis yields a fully non-linear supergravity treatment of the Randall-Sundrum model. Our solutions describe a pp-wave propagating in the domain wall background spacetime. If the latter is BPS, our solutions retain some supersymmetry. Nevertheless, the Kaluza-Klein modes generate ``pp curvature'' singularities in the bulk located where the horizon of AdS would ordinarily be.