New solvable two-matrix model and BKP tau function

TL;DR

This paper introduces exactly solvable modifications of a two-matrix model, expressing it as a tau function and providing explicit perturbation series and string equations, advancing the understanding of integrable matrix models.

Contribution

It presents new solvable two-matrix models formulated as tau functions with explicit perturbation series and associated string equations.

Findings

Matrix model is exactly solvable and expressed as a tau function.

Perturbation series in strict partitions are explicitly derived.

String equations related to the model are provided.

Abstract

We present exactly solvable modifications of the two-matrix Zinn-Justin-Zuber model and write it as a tau function. The grand partition function of these matrix integrals is written as the fermion expectation value. The perturbation theory series is written out explicitly in terms of series in strict partitions. The related string equations are presented.