Year: 2025
Type: article
Abstract: A bstract 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.
Source: Journal of High Energy Physics
Author: Gérard M. T. Watts
Institution: King's College London
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409607652