Discrete-time quantum field theory and the deformed super-Virasoro algebra

被引:5
作者
Chaichian, M
Presnajder, P
机构
[1] Univ Helsinki, Dept Phys Sci, Div High Energy Phys, FIN-00014 Helsinki, Finland
[2] Inst Phys, FIN-00014 Helsinki, Finland
基金
芬兰科学院;
关键词
discrete time; Virasoro algebra;
D O I
10.1016/j.physleta.2003.12.061
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that the deformations of Virasoro and super-Virasoro algebra, constructed earlier on an abstract mathematical background, emerge after Wick rotation, within an exact treatment of discrete-time free field models on a circle. The deformation parameter is e(lambda), where. = tau/rho is the ratio of the discrete-time scale tau and the radius rho of the compact space. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:156 / 165
页数:10
相关论文
共 18 条
[1]   Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background [J].
Bazhanov, V ;
Bobenko, A ;
Reshetikhin, N .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 175 (02) :377-400
[2]   Q-DEFORMATION OF VIRASORO ALGEBRA AND LATTICE CONFORMAL THEORIES [J].
BELOV, AA ;
CHALTIKIAN, KD .
MODERN PHYSICS LETTERS A, 1993, 8 (13) :1233-1242
[3]   SUGAWARA CONSTRUCTION AND THE Q-DEFORMATION OF VIRASORO (SUPER)ALGEBRA [J].
CHAICHIAN, M ;
PRESNAJDER, P .
PHYSICS LETTERS B, 1992, 277 (1-2) :109-118
[4]   q-Virasoro algebra, q-conformal dimensions and free q-superstring [J].
Chaichian, M ;
Presnajder, P .
NUCLEAR PHYSICS B, 1996, 482 (1-2) :466-478
[5]   Quantum affine algebras and deformations of the Virasoro and W-algebras [J].
Frenkel, E ;
Reshetikhin, N .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 178 (01) :237-264
[6]  
Green M.B., 1988, Superstring Theory, V2
[7]   HOW TO QUANTIZE FIELDS CANONICALLY ON DISCRETE SPACE-TIME [J].
HASHIMOTO, T ;
HAYASHI, A ;
HORIBE, M ;
YAMAMOTO, H .
PROGRESS OF THEORETICAL PHYSICS, 1995, 94 (02) :249-261
[8]   Principles of discrete time mechanics .2. Classical field theory [J].
Jaroszkiewicz, G ;
Norton, K .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (09) :3145-3163
[9]   Principles of discrete time mechanics .1. Particle systems [J].
Jaroszkiewicz, G ;
Norton, K .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (09) :3115-3144
[10]  
JAROSZKIEWICZ G, 1997, J PHYS A, V31, P977