QUANTUM DEFORMATIONS OF D=4 POINCARE AND WEYL ALGEBRA FROM Q-DEFORMED D=4 CONFORMAL ALGEBRA

被引：50
作者：
LUKIERSKI, J [1 ]
NOWICKI, A [1 ]
机构：
[1] UNIV BORDEAUX 1,PHYS THEOR LAB,F-33175 GRADIGNAN,FRANCE
来源：
PHYSICS LETTERS B | 1992年 / 279卷 / 3-4期
关键词：
D O I：
10.1016/0370-2693(92)90396-L
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We describe the Cartan-Weyl basis of the quantum Lie algebra U(q)(Sl(4; C)) and consider two choices of its real forms describing two different q-deformations U(q)(i)(O(4, 2)) (i = 1, 2) of the D = 4 conformal algebra. The first choice (i = 1) contains as quantum Lie subalgebras (Hopf subalgebras) the q-deformed Lorentz algebra as well as the q-deformed Weyl algebra (Poincare algebra + dilatations). The second real form (i = 2) leads after a particular contraction [R --> infinity q --> 1] to a new kappa-deformation of the Poincare algebra, which is embedded in the 11-dimensional kappa-deformed Hopf algebra, containing besides Poincare generators an additional abelian central factor.
引用
收藏
页码：299 / 307
页数：9
相关论文
共 17 条
  • [1] TENSOR REPRESENTATION OF THE QUANTUM GROUP SLQ(2,C) AND QUANTUM MINKOWSKI SPACE
    CAROWWATAMURA, U
    SCHLIEKER, M
    SCHOLL, M
    WATAMURA, S
    [J]. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1990, 48 (01): : 159 - 165
  • [2] CAROWWATAMURA V, 1991, INT J MOD PHYS A, V6, P3081
  • [3] THE QUANTUM HEISENBERG-GROUP H(1)Q
    CELEGHINI, E
    GIACHETTI, R
    SORACE, E
    TARLINI, M
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (05) : 1155 - 1158
  • [4] THE 3-DIMENSIONAL EUCLIDEAN QUANTUM GROUP E(3)Q AND ITS R-MATRIX
    CELEGHINI, E
    GIACHETTI, R
    SORACE, E
    TARLINI, M
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (05) : 1159 - 1165
  • [5] CELEGHINI E, 1991, 1ST P EIMI WORKSH QU
  • [6] DOBREV V, 1991, CANONICAL Q DEFORMAT
  • [7] INTEGRABILITY AND UNIFORMIZATION IN LIOUVILLE THEORY - THE GEOMETRICAL ORIGIN OF QUANTIZED SYMMETRIES
    GOMEZ, C
    SIERRA, G
    [J]. PHYSICS LETTERS B, 1991, 255 (01) : 51 - 60
  • [8] KHOROSHKIN SM, 9113217 MOSC STATE U
  • [9] Q-DEFORMATION OF POINCARE ALGEBRA
    LUKIERSKI, J
    RUEGG, H
    NOWICKI, A
    TOLSTOY, VN
    [J]. PHYSICS LETTERS B, 1991, 264 (3-4) : 331 - 338
  • [10] REAL FORMS OF COMPLEX QUANTUM ANTI-DE-SITTER ALGEBRA UQ(SP(4-C)) AND THEIR CONTRACTION SCHEMES
    LUKIERSKI, J
    NOWICKI, A
    RUEGG, H
    [J]. PHYSICS LETTERS B, 1991, 271 (3-4) : 321 - 328
12