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

页码：299 / 307

页数：9

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