Wrapped fivebranes and N=2 super Yang-Mills theory

TL;DR

This paper constructs supergravity solutions for wrapped fivebranes that correspond to pure N=2 SU(N) super Yang-Mills theory, revealing IR singularities and matching Coulomb branch structures.

Contribution

It provides explicit supergravity backgrounds for wrapped fivebranes related to N=2 super Yang-Mills, analyzing IR singularities and Coulomb branch matching.

Findings

IR singularities correspond to branes on a ring

Probe brane dynamics reproduce perturbative gauge theory

Non-singular moduli space matches Coulomb branch slice

Abstract

We construct D=10 supergravity solutions corresponding to type IIB fivebranes wrapping a two-sphere in a Calabi-Yau two-fold. These are related in the IR to the large N limit of pure N=2 SU(N) super Yang-Mills theory. We show that the singularities in the IR correspond to the wrapped branes being distributed on a ring. We analyse the dynamics of a probe fivebrane and show that it incorporates the full perturbative structure of the gauge theory. For a class of solutions the two-dimensional moduli space is non-singular and we match the result for the corresponding slice of the Coulomb branch of the gauge theory.