Q-DEFORMED CONFORMAL AND POINCARE ALGEBRAS ON QUANTUM 4-SPINORS

被引：2
|
作者：
KOBAYASHI, T
UEMATSU, T
机构：
[1] Department of Fundamental Sciences, FIHS, Kyoto University, Kyoto
来源：
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1993年 / 58卷 / 04期
关键词：
D O I：
10.1007/BF01553014
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 investigate quantum deformation of conformal algebras by constructing the quantum space for sl(q)(4). The differential calculus on the quantum space and the action of the quantum generators are studied. We derive deformed su(2, 2) algebra from the deformed sl(4) algebra using the quantum 4-spinor and its conjugate spinor. The quantum 6-vector in so(q)(4, 2) is constructed as a tensor product of two sets of 4-spinors. We obtain the q-deformed conformal algebra with the suitable assignment of the generators which satisfy the reality condition. The deformed Poincare algebra is derived through a contraction procedure.
引用
收藏
页码：559 / 565
页数：7
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