Wilson loops in 3d $\mathcal{N}=4$ SQCD from Fermi gas

TL;DR

This paper analyzes 1/2 BPS Wilson loops in 3d $ abla$4 SQCD using the Fermi gas approach, identifying instanton corrections and confirming consistency with matrix model results.

Contribution

It introduces a Fermi gas method to compute Wilson loops in 3d $ abla$4 SQCD and determines instanton corrections for various winding numbers.

Findings

First instanton corrections for winding numbers 1, 2, 3 identified.

Results consistent with matrix model in the planar limit.

Provides numerical data for Wilson loop corrections.

Abstract

We study 1/2 BPS Wilson loops in 3d $\mathcal{N}=4$ $U(N)$ Yang-Mills theory with one adjoint and $N_f$ fundamental hypermultiplets from the Fermi gas approach. By numerical fitting, we find the first few worldsheet instanton corrections to the Wilson loops with winding numbers 1, 2 and 3. We verify that our Fermi gas results are consistent with the matrix model results in the planar limit.