Effective Supergravity for Supergravity Domain Walls

TL;DR

This paper derives a pure supergravity effective action for the zero-modes of a BPS Randall-Sundrum domain wall, highlighting the unique behavior of transverse fluctuations with vanishing action.

Contribution

It provides the first detailed derivation of the low energy supergravity action for both bosonic and fermionic zero-modes of a smooth BPS domain wall, including induced supergravity.

Findings

Zero-modes have vanishing action for transverse fluctuations.

The effective theory is pure supergravity in lower dimension.

Contrast with non-gravitational domain walls where zero-modes have non-zero action.

Abstract

We discuss the low energy effective action for the Bosonic and Fermionic zero-modes of a smooth BPS Randall-Sundrum domain wall, including the induced supergravity on the wall. The result is a pure supergravity in one lower dimension. In particular, and in contrast to non-gravitational domain walls or domain walls in a compact space, the zero-modes representing transverse fluctuations of domain wall have vanishing action.