Wilson loop correlators at strong coupling in $\mathcal{N}=2$ quiver gauge theories

TL;DR

This paper computes exact correlators of Wilson loops in 4D $ ext{N}=2$ superconformal quiver theories, revealing their strong coupling behavior through supersymmetric localization and resummation techniques.

Contribution

It provides the first exact expressions for Wilson loop correlators in $ ext{N}=2$ quiver theories valid at all couplings, including strong coupling analysis.

Findings

Exact Wilson loop correlators obtained via localization.

Leading strong coupling behavior derived analytically.

Numerical validation using Padé resummation.

Abstract

We consider 4-dimensional $\mathcal{N} = 2$ superconformal quiver theories with $SU(N)^M$ gauge group and bi-fundamental matter and we evaluate correlation functions of $n$ coincident Wilson loops in the planar limit of the theory. Exploiting specific untwisted/twisted combinations of these operators and using supersymmetric localization, we are able to resum the whole perturbative expansion and find exact expressions for these correlators that are valid for all values of the 't Hooft coupling. Moreover, we analytically derive the leading strong coupling behaviour of the correlators, showing that they obey a remarkable simple rule. Our analysis is complemented by numerical checks based on a Pad\'e resummation of the perturbative series.