$C_n$-cofinite twisted modules for $C_2$-cofinite vertex operator algebras
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915587055157248 |
|---|---|
| author | Tan, Daniel |
| author_facet | Tan, Daniel |
| contents | Given a vertex operator algebra $ V $ with a general automorphism $ g $ of $ V $, we introduce a notion of $ C_n $-cofiniteness for weak $ g $-twisted $ V $-modules. When $ V $ is $ C_2 $-cofinite and of CFT type, we show that all finitely-generated weak $ g $-twisted $ V $-modules are $ C_n $-cofinite for all $ n \in \mathbb{Z}_{>0} $. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26657 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $C_n$-cofinite twisted modules for $C_2$-cofinite vertex operator algebras Tan, Daniel Quantum Algebra Representation Theory 17B69, 81T40 Given a vertex operator algebra $ V $ with a general automorphism $ g $ of $ V $, we introduce a notion of $ C_n $-cofiniteness for weak $ g $-twisted $ V $-modules. When $ V $ is $ C_2 $-cofinite and of CFT type, we show that all finitely-generated weak $ g $-twisted $ V $-modules are $ C_n $-cofinite for all $ n \in \mathbb{Z}_{>0} $. |
| title | $C_n$-cofinite twisted modules for $C_2$-cofinite vertex operator algebras |
| topic | Quantum Algebra Representation Theory 17B69, 81T40 |
| url | https://arxiv.org/abs/2510.26657 |