SINGULAR VECTORS OF THE VIRASORO ALGEBRA

被引:27
作者
KENT, A
机构
[1] Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW, Silver Street
关键词
D O I
10.1016/0370-2693(91)90553-3
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We give expressions for the singular vectors in the highest weight representations of the Virasoro algebra. We verify that the expressions - which take the form of a product of operators applied to the highest weight vector - do indeed define singular vectors. These results explain the patterns of embeddings amongst Virasoro algebra highest weight representations.
引用
收藏
页码:56 / 62
页数:7
相关论文
共 50 条
[41]   A LINEAR EXTENSION OF THE VIRASORO ALGEBRA [J].
ARAKELYAN, TA ;
SAVVIDI, GK .
JETP LETTERS, 1991, 53 (06) :283-286
[42]   On the quantum super Virasoro algebra [J].
Mansour, M .
CZECHOSLOVAK JOURNAL OF PHYSICS, 2001, 51 (09) :883-888
[43]   A NEW VIEW OF THE VIRASORO ALGEBRA [J].
REHREN, KH .
LETTERS IN MATHEMATICAL PHYSICS, 1994, 30 (02) :125-130
[44]   Oscillator representations of Virasoro algebra [J].
Batra, P .
COMMUNICATIONS IN ALGEBRA, 2002, 30 (04) :1903-1919
[45]   Constructing a parasupersymmetric Virasoro algebra [J].
Kuwata, S. .
GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS, 2011, 284
[46]   Yangian construction of the Virasoro algebra [J].
Levendorskii, SZ ;
Sudbery, A .
LETTERS IN MATHEMATICAL PHYSICS, 1996, 37 (03) :243-247
[47]   WHITTAKER MODULES FOR THE VIRASORO ALGEBRA [J].
Ondrus, Matthew ;
Wiesner, Emilie .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2009, 8 (03) :363-377
[48]   Graded identities of the Virasoro algebra [J].
Ruffino, Fabio Ferrari .
JOURNAL OF ALGEBRA, 2025, 674 :155-170
[49]   Conformal mechanics and the Virasoro algebra [J].
Kumar, J .
JOURNAL OF HIGH ENERGY PHYSICS, 1999, (04)
[50]   REDUNDANCY OF CONDITIONS FOR A VIRASORO ALGEBRA [J].
URETSKY, JL .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 122 (01) :171-173