Associated Varieties of Ordinary Modules over Quasi-Lisse Vertex Algebras
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912686791458816 |
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| author | Villarreal, Juan |
| author_facet | Villarreal, Juan |
| contents | We prove that if $V$ is a conical simple self-dual quasi-lisse vertex algebra and $M$ is an ordinary module then $\dim X_M=\dim X_V$. Hence, if moreover $X_V$ is irreducible then $X_M=X_V$. In particular, this applies to quasi-lisse simple affine vertex algebras $L_{k}(\mathfrak{g})$. For admissible $k$ it reproves a result in \cite{A2}, and it further extends it to non-admissible levels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Associated Varieties of Ordinary Modules over Quasi-Lisse Vertex Algebras Villarreal, Juan Quantum Algebra 17B69 (Primary) 17B67, 81R10, 81T40 (Secondary) We prove that if $V$ is a conical simple self-dual quasi-lisse vertex algebra and $M$ is an ordinary module then $\dim X_M=\dim X_V$. Hence, if moreover $X_V$ is irreducible then $X_M=X_V$. In particular, this applies to quasi-lisse simple affine vertex algebras $L_{k}(\mathfrak{g})$. For admissible $k$ it reproves a result in \cite{A2}, and it further extends it to non-admissible levels. |
| title | Associated Varieties of Ordinary Modules over Quasi-Lisse Vertex Algebras |
| topic | Quantum Algebra 17B69 (Primary) 17B67, 81R10, 81T40 (Secondary) |
| url | https://arxiv.org/abs/2511.02209 |