The CFT-interpolating black hole in three dimensions
The CFT-interpolating black hole in three dimensions
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DOI：
10.1088/1126-6708/2009/01/010
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发表时间：
2008-11
影响因子：
5.4
通讯作者：
Kyosuke Hotta;Y. Hyakutake;Takahiro Kubota;Takahiro Nishinaka;Hiroaki Tanida
中科院分区：
文献类型：
--
作者：
Kyosuke Hotta;Y. Hyakutake;Takahiro Kubota;Takahiro Nishinaka;Hiroaki Tanida
We present a new exact black hole solution in three dimensional Einstein gravity coupled to a single scalar field. This is one of the extended solutions of the BTZ black hole and has in fact AdS3 geometries both at the spatial infinity and at the event horizon. An explicit derivation of Virasoro algebras for CFT2 at the two boundaries is shown to be possible ? la Brown and Henneaux's calculation. If we regard the scalar field as a running coupling in the dual two dimensional field theory, and its flow in the bulk as the ``holographic renormalization group flow, our black hole should interpolate the two CFT2 living at the infinity and at the horizon. Following the Hamilton-Jacobi analysis by de Boer, Verlinde and Verlinde, we calculate the central charges cUV and cIR for the CFT2 on the infinity and the horizon, respectively. We also confirm that the inequality cIR < cUV is satisfied, which is consistent with the Zamolodchikov's c-theorem.
