Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories

TL;DR

This paper analyzes eigenvalue distributions in matrix models derived from Chern-Simons-matter theories, using integral representations to understand their behavior at large coupling and reproducing known results.

Contribution

It introduces a method to determine branch points of the planar resolvent in large coupling limits for these matrix models.

Findings

Derived positions of branch points in large 't Hooft coupling

Reproduced known eigenvalue distributions

Validated methods against existing exact results

Abstract

The eigenvalue distribution is investigated for matrix models related via the localization to Chern-Simons-matter theories. An integral representation of the planar resolvent is used to derive the positions of the branch points of the planar resolvent in the large 't Hooft coupling limit. Various known exact results on eigenvalue distributions and the expectation value of Wilson loops are reproduced.