THE ALGEBRA OF SUPERTRACES FOR (2+1) SUPER DESITTER GRAVITY

被引:10
作者
URRUTIA, LF
WAELBROECK, H
ZERTUCHE, F
机构
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D O I
10.1142/S0217732392002172
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We calculate the algebra of the observables for 2 + 1 super de Sitter gravity, for one genus of the spatial surface. The algebra turns out to be an infinite Lie algebra subject to nonlinear constraints. We solve the constraints explicitly in terms of five independent complex supertraces. These variables are the true degrees of freedom of the system and their quantized algebra generates a new structure which we refer to as a "central extension" of the quantum algebra SU(2)q.
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页码:2715 / 2721
页数:7
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