On matched asymptotic expansions of backreacting metastable anti-branes

TL;DR

This paper analytically constructs a supergravity solution describing the backreaction of metastable anti-branes in a modified Klebanov-Strassler background, confirming the physical consistency of such states.

Contribution

It provides the first explicit, regular supergravity solution for backreacting metastable anti-branes in a fluxed throat geometry.

Findings

No unphysical singularities in the solution

Supports the existence of a well-behaved supergravity description of metastable states

Confirms previous theoretical claims about anti-brane backreaction

Abstract

We construct analytically a perturbative supergravity solution that captures the backreaction of a metastable state of anti-branes in the background of a particular modification of the Klebanov-Strassler throat in a long-wavelength approximation. Our solution, which has no unphysical singularities, describes how non-supersymmetric spherical NS5-branes with dissolved anti-D3 brane charge backreact in a fluxed throat geometry. It supports previous claims that there is a well-behaved supergravity description of the metastable state of wrapped NS5-branes proposed years ago by Kachru, Pearson, and Verlinde.