A Q-DEFORMED LORENTZ ALGEBRA

被引：81

作者：

SCHMIDKE, WB

WESS, J

ZUMINO, B

机构：

[1] UNIV CALIF BERKELEY,LAWRENCE BERKELEY LAB,DIV PHYS,THEORET PHYS GRP,BERKELEY,CA 94720

[2] UNIV CALIF BERKELEY,DEPT PHYS,BERKELEY,CA 94720

[3] UNIV MUNICH,SEKT PHYS,W-8000 MUNICH 2,GERMANY

来源：

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1991年 / 52卷 / 03期

关键词：

D O I：

10.1007/BF01559443

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We derive a q-deformed version of the Lorentz algebra by deforming the algebra SL(2,C). The method is based on linear representations of the algebra on the complex quantum spinor space. We find that the generators usually identified with SL(q)(2,C) generate SU(q)(2) only. Four additional generators are added which generate Lorentz boosts. The full algebra of all seven generators and their coproduct is presented. We show that in the limit q --> 1 the generators are those of the classical Lorentz algebra plus an additional U(1). Thus we have a deformation of SL(2,C) x U(1).

引用

页码：471 / 476

页数：6

共 12 条

[1] TENSOR REPRESENTATION OF THE QUANTUM GROUP SLQ(2,C) AND QUANTUM MINKOWSKI SPACE [J].