Casimirs of the Virasoro Algebra
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908312518262784 |
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| author | Fortin, Jean-François Quintavalle, Lorenzo Skiba, Witold |
| author_facet | Fortin, Jean-François Quintavalle, Lorenzo Skiba, Witold |
| contents | We explicitly solve a recurrence relation due to Feigin and Fuchs to obtain the Casimirs of the Virasoro algebra in terms of the inverse of the Shapovalov form. Combined with our recent result for the inverse Shapovalov form, this allows us to write the Casimir operators as linear combinations of products of singular vectors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18172 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Casimirs of the Virasoro Algebra Fortin, Jean-François Quintavalle, Lorenzo Skiba, Witold High Energy Physics - Theory Mathematical Physics We explicitly solve a recurrence relation due to Feigin and Fuchs to obtain the Casimirs of the Virasoro algebra in terms of the inverse of the Shapovalov form. Combined with our recent result for the inverse Shapovalov form, this allows us to write the Casimir operators as linear combinations of products of singular vectors. |
| title | Casimirs of the Virasoro Algebra |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2409.18172 |