Dielectric (p,q) Strings in a Throat

TL;DR

This paper computes the spectrum of (p,q) strings in a warped deformed conifold using dielectric brane methods, showing agreement with dual descriptions and discussing S-duality invariance issues.

Contribution

It provides a detailed calculation of the (p,q) string spectrum in a warped conifold and explores S-duality properties, highlighting the need for refined non-Abelian brane actions.

Findings

Spectrum matches dual wrapped D3-brane picture

Exact agreement in the large q limit

S-dual spectrum form is similar but not invariant

Abstract

We calculate the (p,q) string spectrum in a warped deformed conifold using the dielectric brane method. The spectrum is shown to have the same functional form as in the dual picture of a wrapped D3-brane with electric and magnetic fluxes on its world volume. The agreement is exact in the limit where q is large. We also calculate the dielectric spectrum in the S-dual picture. The spectrum in the S-dual picture has the same form as in the original picture but it is not exactly S-dual invariant due to an interchange of Casimirs of the non-Abelian gauge symmetries. We argue that in order to restore S-duality invariance the non-Abelian brane action should be refined, probably by a better prescription for the non-Abelian trace operation.