$W$-representations of two-matrix models with infinite set of variables

TL;DR

This paper constructs Hermitian, complex, and fermionic two-matrix models with infinite variables and demonstrates their realization through $W$-representations, providing compact correlator expressions.

Contribution

It introduces $W$-representations for two-matrix models with infinite variables, enabling simplified correlator calculations.

Findings

Realization of two-matrix models via $W$-representations

Derivation of compact correlator expressions

Extension to Hermitian, complex, and fermionic models

Abstract

The Hermitian, complex and fermionic two-matrix models with infinite set of variables are constructed. We show that these two-matrix models can be realized by the $W$-representations. In terms of the $W$-representations, we derive the compact expressions of correlators for these two-matrix models.