R-deformed Heisenberg algebra, anyons and D=2+1 supersymmetry

被引:33
作者
Plyushchay, MS [1 ]
机构
[1] PROTVINO HIGH ENERGY PHYS INST,PROTVINO 142284,MOSCOW REGION,RUSSIA
关键词
D O I
10.1142/S0217732397001187
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Pt universal minimal spinor set of linear differential equations describing anyons and ordinary integer and half-integer spin fields is constructed with the help of deformed Heisenberg algebra with reflection. The construction is generalized to some d = 2 + 1 supersymmetric field systems. Quadratic and linear forms of action functionals are found for the universal minimal as well as for supersymmetric spinor sets of equations. A possibility of constructing a universal classical mechanical model for d = 2 + 1 spin systems is discussed.
引用
收藏
页码:1153 / 1164
页数:12
相关论文
共 46 条
[1]   CANONICAL QUANTIZATION AND GAUGE INVARIANT ANYON OPERATORS IN CHERN-SIMONS SCALAR ELECTRODYNAMICS [J].
BANERJEE, R ;
CHATTERJEE, A ;
SREEDHAR, VV .
ANNALS OF PHYSICS, 1993, 222 (02) :254-290
[2]   PARTICLE SPIN DYNAMICS AS GRASSMANN VARIANT OF CLASSICAL MECHANICS [J].
BEREZIN, FA ;
MARINOV, MS .
ANNALS OF PHYSICS, 1977, 104 (02) :336-362
[3]   RELATIVISTIC FIELD-THEORIES IN 3 DIMENSIONS [J].
BINEGAR, B .
JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (08) :1511-1517
[4]   LOCAL SUPERSYMMETRY FOR SPINNING PARTICLES [J].
BRINK, L ;
DESER, S ;
ZUMINO, B ;
DIVECCHIA, P ;
HOWE, P .
PHYSICS LETTERS B, 1976, 64 (04) :435-438
[5]  
CASALBUONI R, 1976, NUOVO CIMENTO A, V33, P369
[6]   SPIN TRANSMUTATION IN (2+1)-DIMENSIONS [J].
CHEN, W ;
ITOI, C .
NUCLEAR PHYSICS B, 1995, 435 (03) :690-702
[7]   ON THE ELECTROMAGNETIC-INTERACTIONS OF ANYONS [J].
CHOU, CH ;
NAIR, VP ;
POLYCHRONAKOS, AP .
PHYSICS LETTERS B, 1993, 304 (1-2) :105-110
[8]   DYNAMICAL EQUATIONS OF SPINNING PARTICLES - FEYNMAN PROOF [J].
CHOU, CH .
PHYSICS LETTERS B, 1994, 323 (02) :147-152
[9]   LINEAR-DIFFERENTIAL EQUATIONS FOR A FRACTIONAL SPIN FIELD [J].
CORTES, JL ;
PLYUSHCHAY, MS .
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (11) :6049-6057
[10]   A PSEUDOCLASSICAL MODEL FOR THE MASSIVE DIRAC PARTICLE IN D-DIMENSIONS [J].
CORTES, JL ;
PLYUSHCHAY, MS ;
VELAZQUEZ, L .
PHYSICS LETTERS B, 1993, 306 (1-2) :34-40