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Generalized $ \widetilde{W} $ algebras

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arxiv 2406.13624 v2 pith:BSTZTFIW submitted 2024-06-19 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords algebrasgeneralizedwidetildeaccompaniedaccountaforementionedalgebraallows
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abstract

Recently, a new generalized family of infinite-dimensional $ \widetilde{W} $ algebras, each associated with a particular element of a commutative subalgebra of the $ W_{1+\infty} $ algebra, was described. This paper provides a comprehensive account of the aforementioned association, accompanied by the requisite proofs and illustrative examples. This approach allows a derivation of Ward identities for selected WLZZ matrix models and the expansion of corresponding $ W $-operators in terms of an infinite set of variables $ p_k $.

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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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