Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model

TL;DR

This paper connects matrix model eigenvalue integrals with twist fields in the su(2)-WZW model, offering a new interpretation of their monodromy properties at finite and large matrix sizes.

Contribution

It introduces a formula expressing eigenvalue integrals via dressed twist fields in the su(2) level one WZW model, applicable for any matrix size n.

Findings

Provides a new interpretation of matrix model correlators' monodromy properties.

Derives a formula valid for arbitrary matrix size n.

Offers insights into the 1/n-expansion of matrix models.

Abstract

We propose a formula for the eigenvalue integral of the hermitian one matrix model with infinite well potential in terms of dressed twist fields of the su(2) level one WZW model. The expression holds for arbitrary matrix size n, and provides a suggestive interpretation for the monodromy properties of the matrix model correlators at finite n, as well as in the 1/n-expansion.