Q-DEFORMATION OF POINCARE ALGEBRA

被引：703
作者：
LUKIERSKI, J
RUEGG, H
NOWICKI, A
TOLSTOY, VN
机构：
[1] UNIV BORDEAUX 1,PHYS THEOR LAB,F-34100 GRADIGNAN,FRANCE
[2] MV LOMONOSOV STATE UNIV,INST NUCL PHYS,MOSCOW 119899,USSR
来源：
PHYSICS LETTERS B | 1991年 / 264卷 / 3-4期
关键词：
D O I：
10.1016/0370-2693(91)90358-W
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Standard (Drinfeld-Jimbo) q-deformation of the Cartan-Weyl basis for o(3, 2) (real form of B2) congruent-to sp(4\R) (real form of C2) is calculated. The limit R --> infinity (R is the anti-de Sitter radius) accompanied by a particular limit of the deformation parameter q(iR ln q --> const.) is performed. We obtain a modified Minkowski geometry with abelian translations but the four-momentum-dependent modification of the Lorentz boost algebra. The q-covariant generalization of the Klein-Gordon equation is given.
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页码：331 / 338
页数：8
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