DISCRETIZATION OF VIRASORO ALGEBRA

被引：11
|
作者：
KEMMOKU, R
SAITO, S
机构：
[1] Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo, 192-03, Minami-Osawa
来源：
PHYSICS LETTERS B | 1993年 / 319卷 / 04期
关键词：
D O I：
10.1016/0370-2693(93)91753-A
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A q-discretization of the Virasoro algebra is studied which reduces to the ordinary Virasoro algebra in the limit of q --> 1. This is derived starting from the Moyal bracket algebra, hence it is a kind of quantum deformation different from the quantum groups. A representation of this new algebra by using q-parametrized free fields is also given.
引用
收藏
页码：471 / 477
页数：7
相关论文
共 50 条
  • [1] W-1+infinity as a discretization of Virasoro algebra
    Kemmoku, R
    Saito, S
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (14): : 4141 - 4148
  • [2] THE VIRASORO ALGEBRA
    KAPLANSKY, I
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 86 (01) : 49 - 54
  • [3] Modified Virasoro and super-Virasoro algebra
    Mebarki, N
    Belaloui, N
    Haouchine, M
    CZECHOSLOVAK JOURNAL OF PHYSICS, 1997, 47 (02) : 173 - 181
  • [4] ON THE HOMOLOGY OF THE VIRASORO ALGEBRA
    QIU, S
    CHINESE ANNALS OF MATHEMATICS SERIES B, 1987, 8 (02) : 181 - 188
  • [5] On the nature of the Virasoro algebra
    Kupershmidt, BA
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 1999, 6 (02) : 222 - 245
  • [6] Aperiodic Virasoro algebra
    Twarock, R
    JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (07) : 5088 - 5106
  • [7] Casimirs of the Virasoro algebra
    Fortin, Jean-Francois
    Quintavalle, Lorenzo
    Skiba, Witold
    PHYSICS LETTERS B, 2024, 858
  • [8] UNIQUENESS OF THE VIRASORO ALGEBRA
    URETSKY, JL
    JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (09) : 2059 - 2060
  • [9] On the Nature of the Virasoro Algebra
    Boris A. Kupershmidt
    Journal of Nonlinear Mathematical Physics, 1999, 6 : 222 - 245
  • [10] Discretized Virasoro algebra
    Faddeev, LD
    NONCOMMUTATIVE GEOMETRY AND REPRESENTATION THEORY IN MATHEMATICAL PHYSICS, 2005, 391 : 59 - 67
12345