Kac-Moody and Virasoro algebras on the two-sphere and the two-torus
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909224648310784 |
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| author | Campoamor-Stursberg, Rutwig de Traubenberg, Michel Rausch |
| author_facet | Campoamor-Stursberg, Rutwig de Traubenberg, Michel Rausch |
| contents | We particularise the construction of generalised Kac-Moody algebras associated to compact real manifolds to the case of the two-torus $\mathbb T_2$ and the two-sphere ${\mathbb S}^2$. It is shown that these algebras, as well as a Virasoro algebra associated to the two-torus and the two-sphere, can also be derived considering the usual Kac-Moody and Virasoro algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10548 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kac-Moody and Virasoro algebras on the two-sphere and the two-torus Campoamor-Stursberg, Rutwig de Traubenberg, Michel Rausch Mathematical Physics High Energy Physics - Theory Representation Theory We particularise the construction of generalised Kac-Moody algebras associated to compact real manifolds to the case of the two-torus $\mathbb T_2$ and the two-sphere ${\mathbb S}^2$. It is shown that these algebras, as well as a Virasoro algebra associated to the two-torus and the two-sphere, can also be derived considering the usual Kac-Moody and Virasoro algebras. |
| title | Kac-Moody and Virasoro algebras on the two-sphere and the two-torus |
| topic | Mathematical Physics High Energy Physics - Theory Representation Theory |
| url | https://arxiv.org/abs/2406.10548 |