Fake Supergravity and Domain Wall Stability

TL;DR

This paper extends stability analysis techniques to non-supersymmetric and non-AdS domain walls, demonstrating the non-perturbative stability of the Janus solution in Type IIB supergravity and exploring related solutions.

Contribution

It develops a generalized stability argument applicable to non-supersymmetric and AdS-sliced domain walls, including the stability proof of the Janus solution.

Findings

Janus solution is non-perturbatively stable for broad deformations

Extended stability methods to arbitrary dimensions

Identified new linear dilaton solutions in Type IIB supergravity

Abstract

We review the generalized Witten-Nester spinor stability argument for flat domain wall solutions of gravitational theories. Neither the field theory nor the solution need be supersymmetric. Nor is the space-time dimension restricted. We develop the non-trivial extension required for AdS-sliced domain walls and apply this to show that the recently proposed "Janus" solution of Type IIB supergravity is stable non-perturbatively for a broad class of deformations. Generalizations of this solution to arbitrary dimension and a simple curious linear dilaton solution of Type IIB supergravity are byproducts of this work.