Central extensions of classical and quantum q-Virasoro algebras

被引:7
|
作者
Avan, J [1 ]
Frappat, L
Rossi, M
Sorba, P
机构
[1] Univ Paris 06, LPTHE, CNRS, UMR 7589, F-75252 Paris 05, France
[2] Univ Paris 07, F-75221 Paris 05, France
[3] Lab Annecy Le Vieux Phys Particules, CNRS, URA 1436, LAPP, F-74941 Annecy Le Vieux, France
关键词
D O I
10.1016/S0375-9601(98)00864-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra A(q,p)(sl(N))(c). After establishing the expressions of the cocycle conditions, we 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 those found previously in the literature. (C) 1999 Published by Elsevier Science B.V.
引用
收藏
页码:13 / 24
页数:12
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