Generalized $ \widetilde{W} $ algebras
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 $.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.13624
- arXiv:
- arXiv:2406.13624
- Bibcode:
- 2024arXiv240613624D
- Keywords:
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- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 47 pages, 2 figures