Explicit expressions for Virasoro singular vectors
Abstract 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 Aubi...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)131 |
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| _version_ | 1849311942649315328 |
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| author | Gérard M. T. Watts |
| author_facet | Gérard M. T. Watts |
| author_sort | Gérard M. T. Watts |
| collection | DOAJ |
| description | Abstract 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 | Article |
| id | doaj-art-ee9a50b093434d01b9f60d38eca76847 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ee9a50b093434d01b9f60d38eca768472025-08-20T03:53:13ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025411410.1007/JHEP04(2025)131Explicit expressions for Virasoro singular vectorsGérard M. T. Watts0Department of Mathematics, King’s College LondonAbstract 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.https://doi.org/10.1007/JHEP04(2025)131Conformal and W SymmetryScale and Conformal Symmetries |
| spellingShingle | Gérard M. T. Watts Explicit expressions for Virasoro singular vectors Journal of High Energy Physics Conformal and W Symmetry Scale and Conformal Symmetries |
| title | Explicit expressions for Virasoro singular vectors |
| title_full | Explicit expressions for Virasoro singular vectors |
| title_fullStr | Explicit expressions for Virasoro singular vectors |
| title_full_unstemmed | Explicit expressions for Virasoro singular vectors |
| title_short | Explicit expressions for Virasoro singular vectors |
| title_sort | explicit expressions for virasoro singular vectors |
| topic | Conformal and W Symmetry Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP04(2025)131 |
| work_keys_str_mv | AT gerardmtwatts explicitexpressionsforvirasorosingularvectors |