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Interpolating Matrix Models for WLZZ series

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arxiv 2301.04107 v2 pith:DZ7TYORX submitted 2023-01-10 hep-th math-phmath.MP

Interpolating Matrix Models for WLZZ series

classification hep-th math-phmath.MP
keywords modelsgeneralizationsinfiniterepresentationswlzzalgebraarxivassociated
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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