Regular Article - Theoretical Physics
Interpolating matrix models for WLZZ series
MIPT, 141701, Dolgoprudny, Russia
2 Lebedev Physics Institute, 119991, Moscow, Russia
3 ITEP, 117218, Moscow, Russia
4 Institute for Information Transmission Problems, 127994, Moscow, Russia
5 Department of Mathematics, China University of Mining and Technology, 100083, Beijing, China
6 School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
Accepted: 23 April 2023
Published online: 7 May 2023
We suggest a two-matrix model depending on three (infinite) sets of parameters which interpolates between all the models proposed in Wang et al. (Eur Phys J C 82:902, arXiv:2206.13038, 2022) and defined there through W-representations. We also discuss further generalizations of the WLZZ models, realized by W-representations associated with infinite commutative families of generators of -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 -functions.
© The Author(s) 2023
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