Vertex operator expressions for Lie algebras of physical states
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917749180071936 |
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| author | Driscoll-Spittler, Thomas |
| author_facet | Driscoll-Spittler, Thomas |
| contents | We study the Lie algebra of physical states associated with certain vertex operator algebras of central charge 24. By applying the no-ghost theorem from string theory we express the corresponding Lie brackets in terms of vertex algebra operations. In the special case of the Moonshine module this result answers a question of Borcherds, posed in his paper on the Monstrous moonshine conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07597 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vertex operator expressions for Lie algebras of physical states Driscoll-Spittler, Thomas Quantum Algebra 17B69 We study the Lie algebra of physical states associated with certain vertex operator algebras of central charge 24. By applying the no-ghost theorem from string theory we express the corresponding Lie brackets in terms of vertex algebra operations. In the special case of the Moonshine module this result answers a question of Borcherds, posed in his paper on the Monstrous moonshine conjecture. |
| title | Vertex operator expressions for Lie algebras of physical states |
| topic | Quantum Algebra 17B69 |
| url | https://arxiv.org/abs/2408.07597 |