Large N Limit of N=2 SU(N) Gauge Theories from Localization

TL;DR

This paper investigates the behavior of N=2 SU(N) gauge theories on a four-sphere in the large-N limit, revealing a perimeter law for Wilson loops and quadratic growth of free energy with sphere radius.

Contribution

It provides new insights into the large-N behavior of N=2 gauge theories using localization, including Wilson loop behavior and free energy scaling.

Findings

Wilson loops obey a perimeter law at large N

Free energy scales quadratically with sphere radius

Comments on large-N limit of N=2* theory and superconformal cases

Abstract

We study N=2 Yang-Mills theory on S^4 in the large-N limit. We find that on a large sphere Wilson loops obey a perimeter law and that the free energy grows quadratically with the radius of the sphere. We also comment on the large-N limit of the N=2* theory, and on the free energy in N=2 and N=4 superconformal theories.