N=2 Gauge Theories from Wrapped Five-branes

TL;DR

This paper constructs string theory duals for four-dimensional N=2 pure SU(N) SYM, using wrapped D5-branes and supergravity techniques to explore different points in the moduli space.

Contribution

It provides explicit supergravity solutions for N=2 gauge theories derived from wrapped five-branes, including symmetric and scalar-activated configurations.

Findings

Solutions correspond to points in the N=2 moduli space

Probe analysis confirms standard N=2 expectations

Different vev distributions modeled by scalar fields

Abstract

We present string duals of four dimensional N=2 pure SU(N) SYM theory. The theory is obtained as the low energy limit of D5-branes wrapped on non-trivial two-cycles. Using seven dimensional gauged supergravity and uplifting the result to ten dimensions, we obtain solutions corresponding to various points of the N=2 moduli space. The more symmetric solution may correspond to a point with rotationally invariant classical vevs. By turning on seven dimensional scalar fields, we find a solution corresponding to a linear distribution of vevs. Both solutions are conveniently studied with a D5-probe, which also confirms many of the standard expectations for N=2 solutions.