A Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions
classification
q-alg
hep-thmath.QA
keywords
algebraquantumvirasorobosonicdeformationfunctionsmacdonaldsymmetric
read the original abstract
A quantum deformation of the Virasoro algebra is defined. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Virasoro algebra. Singular vectors are expressed by the Macdonald symmetric functions. This is proved by constructing screening currents acting on the bosonic Fock space.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.