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Generation of Matrix Models by W-operators

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abstract

We show that partition functions of various matrix models can be obtained by acting on elementary functions with exponents of W-operators. A number of illustrations is given, including the Gaussian Hermitian matrix model, Hermitian model in external field and the Hurwitz-Kontsevitch model, for which we suggest an elegant matrix-model representation. In all these examples, the relevant W-operators belong to the W_3-algebra.

fields

hep-th 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Superintegrability for some $(q,t)$-deformed matrix models

hep-th · 2025-10-21 · unverdicted · novelty 7.0

Proves uniqueness of solutions to constraints on (q,t)-deformed hypergeometric functions and derives superintegrability relations for a general (q,t)-deformed matrix model with allowed parameters.

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  • Superintegrability for some $(q,t)$-deformed matrix models hep-th · 2025-10-21 · unverdicted · none · ref 1 · internal anchor

    Proves uniqueness of solutions to constraints on (q,t)-deformed hypergeometric functions and derives superintegrability relations for a general (q,t)-deformed matrix model with allowed parameters.