Generalized $ \widetilde{W} $ algebras

Yaroslav Drachov

doi:10.1140/epjc/s10052-024-13382-5

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arXiv · 2406.13624

Generalized $ \widetilde{W} $ algebras

Yaroslav Drachov

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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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Yaroslav Drachov. 2024-06-19. Generalized $ \widetilde{W} $ algebras. https://doi.org/10.1140/epjc%2Fs10052-024-13382-5

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