Generalized $ \widetilde{W} $ algebras
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917809402937344 |
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| author | Drachov, Yaroslav |
| author_facet | Drachov, Yaroslav |
| contents | 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 $. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13624 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized $ \widetilde{W} $ algebras Drachov, Yaroslav High Energy Physics - Theory Mathematical Physics 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 $. |
| title | Generalized $ \widetilde{W} $ algebras |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2406.13624 |