Casimirs of the Virasoro algebra
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.
Authors
- Jean-François Fortin (ORCID: https://orcid.org/0000-0002-7813-5015)
- Witold Skiba (ORCID: https://orcid.org/0000-0002-2800-4148)
- Lorenzo Quintavalle (ORCID: https://orcid.org/0000-0002-2768-0419)
Institutions
- Yale University (US)
- Université Laval (CA)
Publication Details
- Journal
- Physics Letters B
- Published
- 2024-10-18
- DOI
- https://doi.org/10.1016/j.physletb.2024.139080
- Citations
- 2
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 2.02
Funders
- U.S. Department of Energy
- CERN
- Natural Sciences and Engineering Research Council of Canada