Central extensions of classical and quantum q-Virasoro algebras

Authors
Avan, J Frappat, L Rossi, M Sorba, P
Citation
J. Avan et al., Central extensions of classical and quantum q-Virasoro algebras, PHYS LETT A, 251(1), 1999, pp. 13-24
Citations number
10
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
251
Issue
1
Year of publication
1999
Pages
13 - 24
Database
ISI
SICI code
0375-9601(19990104)251:1<13:CEOCAQ>2.0.ZU;2-P
Abstract
We investigate the central extensions of the q-deformed (classical and quan tum) Virasoro algebras constructed from the elliptic quantum algebra A(q,p) (sl(N))(c). After establishing the expressions of the cocycle conditions, w e solve them, both in the classical and in the quantum case (for sl(2)). We find that the consistent central extensions are much more general that tho se found previously in the literature. (C) 1999 Published by Elsevier Scien ce B.V.