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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.11797 |
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| _version_ | 1866910624048480256 |
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| author | Adamović, Dražen Ai, Chunrui Lin, Xingjun Yang, Jinwei |
| author_facet | Adamović, Dražen Ai, Chunrui Lin, Xingjun Yang, Jinwei |
| contents | In this paper, we show Kazhdan-Lusztig categories, that is, the categories of lower bounded generalized weight modules for certain affine vertex operator superalgebras that are locally finite modules of the underlying finite dimensional Lie superalgebra, are semisimple. Those are all representation categories of affine vertex operator superalgebras at conformal but non admissible levels. As a consequence, the categories of finite length generalized modules for these affine vertex operator superalgebras have braided tensor category structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semisimplicity of module categories of certain affine vertex operator superalgebras Adamović, Dražen Ai, Chunrui Lin, Xingjun Yang, Jinwei Quantum Algebra In this paper, we show Kazhdan-Lusztig categories, that is, the categories of lower bounded generalized weight modules for certain affine vertex operator superalgebras that are locally finite modules of the underlying finite dimensional Lie superalgebra, are semisimple. Those are all representation categories of affine vertex operator superalgebras at conformal but non admissible levels. As a consequence, the categories of finite length generalized modules for these affine vertex operator superalgebras have braided tensor category structures. |
| title | Semisimplicity of module categories of certain affine vertex operator superalgebras |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2409.11797 |