Q-TRACE FOR QUANTUM GROUPS AND Q-DEFORMED YANG-MILLS THEORY

被引:38
作者
ISAEV, AP
POPOWICZ, Z
机构
[1] Institute of Theoretical Physics, University of Wrocaw, PL-50-205 Wrocaw
关键词
D O I
10.1016/0370-2693(92)91140-5
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The definitions of orbits and q-trace for the quantum groups are introduced. Then the q-trace is used to construct the invariants for the quantum group orbits and to formulate the q-deformed Yang-Mills theory. The amusing formal relation of the Weinberg type mixing angle with the quantum group deformation parameter is discussed.
引用
收藏
页码:271 / 278
页数:8
相关论文
共 16 条
[1]   HIDDEN QUANTUM SYMMETRIES IN RATIONAL CONFORMAL FIELD-THEORIES [J].
ALVAREZGAUME, L ;
GOMEZ, C ;
SIERRA, G .
NUCLEAR PHYSICS B, 1989, 319 (01) :155-186
[2]   QUANTUM GROUP CHIRAL-FIELDS AND DIFFERENTIAL YANG-BAXTER EQUATIONS [J].
AREFEVA, IY ;
VOLOVICH, IV .
PHYSICS LETTERS B, 1991, 264 (1-2) :62-68
[3]   QUANTUM GROUP GAUGE-FIELDS [J].
AREFEVA, IY ;
VOLOVICH, IV .
MODERN PHYSICS LETTERS A, 1991, 6 (10) :893-907
[4]   SUPERCOVARIANT SYSTEMS OF Q-OSCILLATORS AND Q-SUPERSYMMETRIC HAMILTONIANS [J].
CHAICHIAN, M ;
KULISH, P ;
LUKIERSKI, J .
PHYSICS LETTERS B, 1991, 262 (01) :43-48
[5]  
DRINFELD VG, 1986, P INT C MATH BERKELE, V1, P798
[6]  
Faddeev L.D., 1989, ALGEBRA ANALIZ, P178
[7]   MULTIPARAMETER ASSOCIATIVE GENERALIZATIONS OF CANONICAL COMMUTATION RELATIONS AND QUANTIZED PLANES [J].
FAIRLIE, DB ;
ZACHOS, CK .
PHYSICS LETTERS B, 1991, 256 (01) :43-49
[8]   HARMONIC-OSCILLATOR REALIZATION OF THE CANONICAL Q-TRANSFORMATION [J].
FILIPPOV, AT ;
GANGOPADHYAY, D ;
ISAEV, AP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (02) :L63-L68
[9]   NOVEL TRIANGLE RELATION AND ABSENCE OF TACHYONS IN LIOUVILLE STRING FIELD-THEORY [J].
GERVAIS, JL ;
NEVEU, A .
NUCLEAR PHYSICS B, 1984, 238 (01) :125-141
[10]  
JIMBO M, 1986, LETT MATH PHYS, V11, P247, DOI 10.1007/BF00400222