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On W-operators and superintegrability for dessins d'enfant

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arxiv 2212.10952 v2 pith:7YUTUQZY submitted 2022-12-21 hep-th math-phmath.MP

Alexander Alexandrov This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords dessinsenfantsuperintegrabilitycertainexamplesfamilyfunctionfunctions
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In this short note we identify a family of partition functions recently introduced by Wang, Liu, Zhang, and Zhao with certain specializations of the generating function for dessins d'enfant. This provides a new W-description for orbifold strongly monotone Hurwitz numbers and new examples of superintegrability in matrix models.

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Cited by 1 Pith paper

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  1. Correlators in two rainbow tensor and complex multi-matrix models

    hep-th 2025-05 conditional novelty 6.0 of 10

    Two multi-tensor rainbow models are built via W-representations, and their correlators are computed exactly both from colored Dessins and from W-operators.

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