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Many-body integrable systems implied by WLZZ models

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arxiv 2303.05273 v1 pith:R76L436R submitted 2023-03-09 hep-th math-phmath.MPnlin.SI

A. Mironov , A. Morozov This is my paper · ORCID
classification hep-thmath-phmath.MPnlin.SI
keywords systemsimpliedintegrablemodelswlzzalgebraalongattention
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abstract

We provide some details about the recently discovered integrable systems implied by commutativity of $W$ operators along the rays on the plane of roots of $w_\infty$-algebra. The simplest system of this type is the rational Calogero model, other systems escaped attention in the past. Existence of these systems is intimately tied to the very interesting WLZZ matrix models, which are now under intensive study.

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  1. Phases in WLZZ Matrix Models

    hep-th 2025-07 conditional novelty 6.0 of 10

    For WLZZ two-matrix models, integration contours describe only a finite-N subspace of Ward identity solutions, and the full solution space is recovered only in the N-to-infinity limit.

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