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Proving superintegrability in $\beta$-deformed eigenvalue models

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arxiv 2206.14763 v1 pith:VYC53WGJ submitted 2022-06-29 hep-th math-phmath.MP

Aditya Bawane , Pedram Karimi , Piotr Su{l}kowski This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords superintegrabilitybetadeformedeigenvaluemodelsproofscompletesconjectured
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abstract

In this note we provide proofs of various expressions for expectation values of symmetric polynomials in $\beta$-deformed eigenvalue models with quadratic, linear, and logarithmic potentials. The relations we derive are also referred to as superintegrability. Our work completes proofs of superintegrability statements conjectured earlier in literature.

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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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