A QUANTUM DEFORMATION OF THE VIRASORO ALGEBRA AND THE MACDONALD SYMMETRICAL FUNCTIONS

Authors
SHIRAISHI JI KUBO H AWATA H ODAKE S
Citation
Ji. Shiraishi et al., A QUANTUM DEFORMATION OF THE VIRASORO ALGEBRA AND THE MACDONALD SYMMETRICAL FUNCTIONS, letters in mathematical physics, 38(1), 1996, pp. 33-51
Citations number
26
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
38
Issue
1
Year of publication
1996
Pages
33 - 51
Database
ISI
SICI code
0377-9017(1996)38:1<33:AQDOTV>2.0.ZU;2-Q
Abstract
A quantum deformation of the Virasoro algebra is defined. The Kac dete rminants at arbitrary levels are conjectured. We construct a bosonic r ealization 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.