String perturbation theory of Klebanov-Strassler throat

TL;DR

This paper develops a string perturbation framework for the Klebanov-Strassler throat using open-closed superstring field theory, enabling analysis of supersymmetry breaking and stability in this complex background.

Contribution

It introduces a novel perturbative approach combining large radius expansion and double scaling limit to study the KS solution within superstring field theory.

Findings

Perturbative background solution matches supergravity analysis.

Demonstrates supersymmetry breaking via anti-D3-branes.

Provides a dual description involving NS5-brane probing the KS solution.

Abstract

In this work, we develop a tool to study string perturbation theory of the Klebanov-Strassler solution in the large radius approximation based on open-closed superstring field theory. Combining the large radius expansion and a double scaling limit, we find a perturbative background solution of open-closed superstring field theory that corresponds to the Klebanov-Strassler solution. To illustrate the utilities of this approach, we break supersymmetry of the background by placing a stack of anti-D3-branes at the tip of the throat. We then find a perturbative open string background solution to the third order in the large radius approximation, which agrees with the well-known supergravity analysis of Kachru-Pearson-Verlinde (KPV) on the stability of the antiD3-brane supersymmetry breaking. The perturbative background solution to the open string field theory we found is expected to be dual to an NS5-brane probing the KS solution.