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

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 Wrepresentations, we derive the compact expressions of correlators for these two-matrix models. (c) 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org /licenses /by /4 .0/). Funded by SCOAP(3).

Automated summary

The Hermitian, complex and fermionic two-matrix models with infinite set of variables are constructed and realized by the W-representations. The compact expressions of correlators for these two-matrix models are derived in terms of the W-representations.