Q-VIRASORO ALGEBRA AND ITS RELATION TO THE Q-DEFORMED KDV SYSTEM

被引:47
作者
CHAICHIAN, M [1 ]
POPOWICZ, Z [1 ]
PRESNAJDER, P [1 ]
机构
[1] UNIV HELSINKI,THEORET PHYS RES INST,SF-00170 HELSINKI 17,FINLAND
关键词
D O I
10.1016/0370-2693(90)90527-D
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In the same way as the Virasoro algebra is related to the Korteweg-de Vries (KdV) integrable system we have obtained the q-deformed KdV equation corresponding to the q-deformed Virasoro algebra. This equation appears to be a lattice system which is a specific discretization of KdV and a deformation of conformal field theory. © 1990.
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页码:63 / 65
页数:3
相关论文
共 11 条
[1]   INTEGRABLE DISCRETIZATIONS OF THE KDV EQUATION [J].
BOGOYAVLENSKY, OI .
PHYSICS LETTERS A, 1988, 134 (01) :34-38
[2]   QUANTUM CONFORMAL ALGEBRA WITH CENTRAL EXTENSION [J].
CHAICHIAN, M ;
ELLINAS, D ;
POPOWICZ, Z .
PHYSICS LETTERS B, 1990, 248 (1-2) :95-99
[3]  
CHAICHIAN M, 1988, PHYS LETT B, V203, P287
[4]  
DRINFELD VG, 1986, P INT C MATH BERKELE, V1, P798
[5]  
FURCHSSTEINER B, 1981, PHYSICA D, V4, P47
[6]  
Gelfand I.M., 1980, FUNCT ANAL APPL+, V14, P71
[7]   INFINITE FAMILY OF POLYNOMIAL FUNCTIONS OF THE VIRASORO GENERATORS WITH VANISHING POISSON BRACKETS [J].
GERVAIS, JL .
PHYSICS LETTERS B, 1985, 160 (4-5) :277-278
[8]  
JIMBO M, 1986, LETT MATH PHYS, V11, P247, DOI 10.1007/BF00400222
[9]   SUPER KORTEWEG-DEVRIES EQUATIONS ASSOCIATED TO SUPER EXTENSIONS OF THE VIRASORO ALGEBRA [J].
KUPERSHMIDT, BA .
PHYSICS LETTERS A, 1985, 109 (09) :417-423
[10]   THE TODA LATTICE AND KADOMTSEV-PETVIASHVILI EQUATIONS [J].
POPOWICZ, Z .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (22) :5007-5015