Generalized $\tilde{W}$ algebras

Abstract

Recently, a new generalized family of infinite-dimensional $\tilde{W}$ 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 $p_k$.

47 pages, 2 figures

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Cited by in corpus (1)

• Phases in WLZZ Matrix Models