The backreaction of anti-D3 branes on the Klebanov-Strassler geometry

TL;DR

This paper provides a detailed numerical analysis of how anti-D3 branes influence the Klebanov-Strassler background, revealing the solution's characteristics and subtleties in the duality correspondence.

Contribution

It offers the first full numerical solution for the linearized deformations of the Klebanov-Strassler background with anti-D3 branes, fixing all parameters in terms of brane number.

Findings

Identified the anti-D3 brane solution within the deformation space.

Fixed all integration constants based on the number of anti-D3 branes.

Highlighted the UV differences and subtleties in duality interpretation.

Abstract

We present the full numerical solution for the 15-dimensional space of linearized deformations of the Klebanov-Strassler background which preserve the SU(2) X SU(2) X Z_2 symmetries. We identify within this space the solution corresponding to anti-D3 branes, (modulo the presence of a certain subleading singularity in the infrared). All the 15 integration constants of this solution are fixed in terms of the number of anti-D3 branes, and the solution differs in the UV from the supersymmetric solution into which it is supposed to decay by a mode corresponding to a rescaling of the field theory coordinates. Deciding whether two solutions that differ in the UV by a rescaling mode are dual to the same theory is involved even for supersymmetric Klebanov-Strassler solutions, and we explain in detail some of the subtleties associated to this.