Balanced root systems and a Schellekens-type list for holomorphic vertex operator algebras of central charge $32$
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910061102628864 |
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| author | Ampagouni, Maneesha Mason, Geoffrey Mertens, Michael H. |
| author_facet | Ampagouni, Maneesha Mason, Geoffrey Mertens, Michael H. |
| contents | We study a special class of holomorphic vertex operator algebras (VOAs) that we call \emph{balanced}.\ For a balanced, holomorphic VOA $V=\mathbb{C}\mathbf{1}\oplus V_1\oplus\dots$ with $c=32$ or $40$ we show that the Virasoro vectors of $V$ and the subVOA generated by $V_1$ coincide and use this result to provide a Schellekens-type list of possible root systems that may occur. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12312 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Balanced root systems and a Schellekens-type list for holomorphic vertex operator algebras of central charge $32$ Ampagouni, Maneesha Mason, Geoffrey Mertens, Michael H. Quantum Algebra 17B69, 17B22, 11F22 We study a special class of holomorphic vertex operator algebras (VOAs) that we call \emph{balanced}.\ For a balanced, holomorphic VOA $V=\mathbb{C}\mathbf{1}\oplus V_1\oplus\dots$ with $c=32$ or $40$ we show that the Virasoro vectors of $V$ and the subVOA generated by $V_1$ coincide and use this result to provide a Schellekens-type list of possible root systems that may occur. |
| title | Balanced root systems and a Schellekens-type list for holomorphic vertex operator algebras of central charge $32$ |
| topic | Quantum Algebra 17B69, 17B22, 11F22 |
| url | https://arxiv.org/abs/2602.12312 |