The problematic backreaction of SUSY-breaking branes

TL;DR

This paper demonstrates that localized SUSY-breaking branes in certain supergravity setups cannot support flux vacua, and the smeared approximation uniquely describes the regular solution.

Contribution

It shows that genuine delta-function branes do not admit flux vacua and that the smeared solution is the only regular profile in the studied non-BPS AdS_7 context.

Findings

No flux vacuum with delta-function branes under broad boundary conditions

Smeared solution is the unique regular brane profile

Localization prevents existence of certain non-BPS vacua

Abstract

In this paper we investigate the localisation of SUSY-breaking branes which, in the smeared approximation, support specific non-BPS vacua. We show, for a wide class of boundary conditions, that there is no flux vacuum when the branes are described by a genuine delta-function. Even more, we find that the smeared solution is the unique solution with a regular brane profile. Our setup consists of a non-BPS AdS_7 solution in massive IIA supergravity with smeared anti-D6-branes and fluxes T-dual to ISD fluxes in IIB supergravity.