THE POINCARE LIMIT IN 2+1 DIMENSIONAL QUANTUM DESITTER GRAVITY

被引:4
|
作者
URRUTIA, LF [1 ]
ZERTUCHE, F [1 ]
机构
[1] CTR ESTUDIOS CIENT SANTIAGO,SANTIAGO 9,CHILE
关键词
D O I
10.1088/0264-9381/9/3/007
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The quantum traces algebra for the 2 + 1 Poincare gravity in first order formalism is explicitly constructed by contracting the corresponding traces algebra of the de Sitter gravity. Unbounded representations of the latter, in the case LAMBDA < 0, are constructed in terms of an underlying SU(1, 1) algebra. Unfortunately, these representations do not possess a well defined Poincare limit. Nevertheless an explicit realization of the Poincare traces algebra is constructed in terms of two pairs of canonical variables.
引用
收藏
页码:641 / 650
页数:10
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