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arXiv · 2301.04107

Interpolating Matrix Models for WLZZ series

A. Mironov·V. Mishnyakov·A. Morozov·A. Popolitov·Rui Wang·Wei-Zhong Zhao
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Abstract

We suggest a two-matrix model depending on three (infinite) sets of parameters which interpolates between all the models proposed in arXiv:2206.13038, and defined there through $W$-representations. We also discuss further generalizations of these WLZZ models realized by $W$-representations associated with infinite commutative families of generators of $w_\infty$-algebra which are presumably related to more sophisticated multi-matrix models. Integrable properties of these generalizations are described by what we call the skew hypergeometric $\tau$-functions.

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A. Mironov, V. Mishnyakov, A. Morozov, A. Popolitov, Rui Wang, Wei-Zhong Zhao. 2023-01-10. Interpolating Matrix Models for WLZZ series. https://doi.org/10.1140/epjc/s10052-023-11549-0

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