Casimirs of the Virasoro Algebra
High Energy Physics - Theory
2025-04-14 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.2409.18172,
title = {Casimirs of the Virasoro Algebra},
author = {Jean-François Fortin and Lorenzo Quintavalle and Witold Skiba},
journal= {arXiv preprint arXiv:2409.18172},
year = {2025}
}
Comments
8 pages, no figures, published version, minor typos corrected, added references