Explicit expressions for Virasoro singular vectors
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909425193713664 |
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| author | Watts, Gérard M T |
| author_facet | Watts, Gérard M T |
| contents | We present two explicit expressions for generic singular vectors of type $(r,s)$ of the Virasoro algebra. These results follow from the paper of Bauer et al which presented recursive methods to construct the vectors. The expressions presented here generalise the results of Benoit-Saint Aubin for the type $(1,s)$ singular vectors in two different ways: the first simply solves the recursion through the use of partitions; the second gives explicit formulae for the coefficients in a particular expansion. A Mathematica notebook is available which implements the formulae. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07505 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit expressions for Virasoro singular vectors Watts, Gérard M T High Energy Physics - Theory Mathematical Physics Quantum Algebra We present two explicit expressions for generic singular vectors of type $(r,s)$ of the Virasoro algebra. These results follow from the paper of Bauer et al which presented recursive methods to construct the vectors. The expressions presented here generalise the results of Benoit-Saint Aubin for the type $(1,s)$ singular vectors in two different ways: the first simply solves the recursion through the use of partitions; the second gives explicit formulae for the coefficients in a particular expansion. A Mathematica notebook is available which implements the formulae. |
| title | Explicit expressions for Virasoro singular vectors |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2412.07505 |