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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.14654 |
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| _version_ | 1866909795006545920 |
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| author | Feng, Runkang Jiang, Cuipo |
| author_facet | Feng, Runkang Jiang, Cuipo |
| contents | In this paper, we determinate the structure of the coset vertex operator algebra $C( L_{\widehat{osp(1|2)}}(2,0), L_{\widehat{osp(1|2)}}(1,0)^{\otimes 2})$. We prove that $C( L_{\widehat{osp(1|2)}}(2,0), L_{\widehat{osp(1|2)}}(1,0)^{\otimes 2})$ is an extension of the rational vertex operator algebra $L(c_{10,7},0)$. Representations and fusion rules for $C( L_{\widehat{osp(1|2)}}(2,0), L_{\widehat{osp(1|2)}}(1,0)^{\otimes 2})$ are also completely determined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14654 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structure and representations of the coset vertex operator algebra $C( L_{\widehat{osp(1|2)}}(2,0), L_{\widehat{osp(1|2)}}(1,0)^{\otimes 2})$ Feng, Runkang Jiang, Cuipo Quantum Algebra In this paper, we determinate the structure of the coset vertex operator algebra $C( L_{\widehat{osp(1|2)}}(2,0), L_{\widehat{osp(1|2)}}(1,0)^{\otimes 2})$. We prove that $C( L_{\widehat{osp(1|2)}}(2,0), L_{\widehat{osp(1|2)}}(1,0)^{\otimes 2})$ is an extension of the rational vertex operator algebra $L(c_{10,7},0)$. Representations and fusion rules for $C( L_{\widehat{osp(1|2)}}(2,0), L_{\widehat{osp(1|2)}}(1,0)^{\otimes 2})$ are also completely determined. |
| title | Structure and representations of the coset vertex operator algebra $C( L_{\widehat{osp(1|2)}}(2,0), L_{\widehat{osp(1|2)}}(1,0)^{\otimes 2})$ |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2509.14654 |