https://doi.org/10.1140/epjc/s10052-023-11549-0
Regular Article - Theoretical Physics
Interpolating matrix models for WLZZ series
1
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
a mironov@lpi.ru, mironov@itep.ru
Received:
12
February
2023
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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