Integrated correlators with a Wilson line in a $\mathcal{N}=2$ quiver gauge theory at strong coupling

TL;DR

This paper computes exact large N expansions of integrated correlators involving Wilson lines and Higgs operators in a specific $ ext{N}=2$ quiver gauge theory, providing insights into their strong coupling behavior.

Contribution

It derives exact expressions for correlators in an $ ext{N}=2$ quiver gauge theory using localization, including strong coupling expansions, which was not previously achieved.

Findings

Exact large N expansions of correlators obtained

Strong coupling behavior characterized through analytical and numerical methods

Results applicable for arbitrary 't Hooft coupling

Abstract

We consider the four-dimensional $\mathcal{N}=2$ quiver gauge theory arising from a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills with gauge group $SU(2N)$. We study the integrated correlator between a half-BPS Wilson line and two Higgs branch operators of conformal dimension 2. Using supersymmetric localization, we resum the perturbative series for this observable and obtain exact expressions for both the planar and next-to-planar terms of its large $N$ expansion, valid for arbitrary values of the 't Hooft coupling. Finally, through a combination of analytical and numerical methods, we determine the leading terms of the corresponding strong-coupling expansions.