The classification of vertex operator algebras of OZ-type generated by Ising vectors of $σ$-type
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910829276823552 |
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| author | Jiang, Cuipo Lam, Ching Hung Yamauchi, Hiroshi |
| author_facet | Jiang, Cuipo Lam, Ching Hung Yamauchi, Hiroshi |
| contents | We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of $σ$-type. As a consequence of the classification, we also prove that such VOAs are simple, rational, $C_2$-cofinite and unitary, that is, they have compact real forms generated by Ising vectors of $σ$-type over the real numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09713 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The classification of vertex operator algebras of OZ-type generated by Ising vectors of $σ$-type Jiang, Cuipo Lam, Ching Hung Yamauchi, Hiroshi Quantum Algebra We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of $σ$-type. As a consequence of the classification, we also prove that such VOAs are simple, rational, $C_2$-cofinite and unitary, that is, they have compact real forms generated by Ising vectors of $σ$-type over the real numbers. |
| title | The classification of vertex operator algebras of OZ-type generated by Ising vectors of $σ$-type |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2312.09713 |