A comment on anti-brane singularities in warped throats

TL;DR

This paper analyzes the singularities in fluxes caused by anti-D3 branes in the Klebanov-Strassler background, suggesting that certain singularities may be inherent and persist beyond linear approximations.

Contribution

It provides a detailed linear order computation of flux singularities in warped throats with anti-branes, highlighting potential universal features of such solutions.

Findings

Both ISD and IASD fluxes exhibit singularities near anti-branes.

IASD flux singularity may resolve at full non-linear order, unlike ISD.

Singularities might be a universal aspect of anti-brane backreaction.

Abstract

We compute the imaginary self-dual (ISD) and imaginary anti-self-dual (IASD) fluxes for the Klebanov-Strassler background perturbed by a stack of p anti-D3 branes. We show that, at linear order in p, they both have a singularity in the near-brane region. While one can argue that the IASD flux may disappear at full non-linear level, no such argument exists for the ISD mode. An analogy with anti-D6 backreaction suggests that such singularity may survive once full backreaction is taken into account and may be a universal feature of anti-brane solutions.