The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant

被引:332
作者
Coussaert, O [1 ]
Henneaux, M [1 ]
vanDriel, P [1 ]
机构
[1] CTR ESTUDIOS CIENT SANTIAGO,SANTIAGO 9,CHILE
关键词
D O I
10.1088/0264-9381/12/12/012
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Liouville theory is shown to describe the asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant. This is because (i) Chern-Simons theory with a gauge group SL(2, R) x SL(2, R) on a spacetime with a cylindrical boundary is equivalent to the non-chiral SL(2, R) WZW model; and (ii) the anti-de Sitter boundary conditions implement the constraints that reduce the WZW model to the Liouville theory.
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页码:2961 / 2966
页数:6
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