Q-DEFORMATION OF POINCARE ALGEBRA

被引：716

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.

引用

页码：331 / 338

页数：8

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