Transmutation of N=2 fractional D3 branes into twisted sector fluxes

TL;DR

This paper explores how nonperturbative effects in gauge theories with fractional D3 branes lead to their transmutation into twisted sector fluxes, providing an exact analytic description within the gauge/gravity duality framework.

Contribution

It introduces an exact analytic expression for twisted sector fields in type IIB string theory, linking nonperturbative gauge dynamics to brane flux transmutation.

Findings

Derived a simple analytic formula for twisted sector fields.

Linked nonperturbative gauge effects to brane flux transmutation.

Provided insights into the quantum dynamics of fractional D3 branes.

Abstract

We study the prototype of fractional D3 branes at non-isolated singularities in gauge/gravity duality at the nonperturbative level. We embed the quantum moduli space of N=2 SU(M) pure SYM, the gauge theory on fractional D3 branes at the A_1 singularity, into that of the cascading quiver gauge theory on regular and fractional D3 branes at the same singularity, for which a gravity dual description exists. We deduce a simple analytic expression for the exact twisted sector fields in the type IIB string dual, which encodes the full quantum dynamics of the gauge theory. Nonperturbative effects in the gauge theory translate into the transmutation of fractional D3 branes into twisted sector fluxes.