Factorization envelopes and enveloping vertex algebras
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910032344383488 |
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| author | Nishinaka, Yusuke |
| author_facet | Nishinaka, Yusuke |
| contents | We construct a factorization algebra, via the factorization envelope, starting from a Lie conformal algebra, and prove that the associated vertex algebra is isomorphic to its enveloping vertex algebra. Our construction generalizes the Kac--Moody factorization algebra of Costello--Gwilliam and the Virasoro factorization algebra of Williams. Moreover, by considering the super analogue of this construction, we obtain new factorization algebras corresponding to vertex superalgebras, such as the Neveu--Schwarz vertex superalgebra and the $N=2$ vertex superalgebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07635 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Factorization envelopes and enveloping vertex algebras Nishinaka, Yusuke Quantum Algebra Mathematical Physics We construct a factorization algebra, via the factorization envelope, starting from a Lie conformal algebra, and prove that the associated vertex algebra is isomorphic to its enveloping vertex algebra. Our construction generalizes the Kac--Moody factorization algebra of Costello--Gwilliam and the Virasoro factorization algebra of Williams. Moreover, by considering the super analogue of this construction, we obtain new factorization algebras corresponding to vertex superalgebras, such as the Neveu--Schwarz vertex superalgebra and the $N=2$ vertex superalgebra. |
| title | Factorization envelopes and enveloping vertex algebras |
| topic | Quantum Algebra Mathematical Physics |
| url | https://arxiv.org/abs/2512.07635 |