Holographic Description of AdS_2 Black Holes

Details Holographic Description of AdS_2 Black Holes Holographic Description of AdS_2 Black Holes

2008-09-24

arxiv.org/abs/0809.4264v2

JHEP0811:052,2008

Physics

High Energy Physics

High Energy Physics - Theory

28 pages

Scientific paper

10.1088/1126-6708/2008/11/052

We develop the holographic renormalization of AdS_2 gravity systematically. We find that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations that preserve the boundary conditions. We determine the energy-momentum tensor and the central charge, recovering recent results by Hartman and Strominger. We show that our expressions are consistent with dimensional reduction of the AdS_3 energy-momentum tensor and the Brown--Henneaux central charge. As an application of our results we interpret the entropy of AdS_2 black holes as the ground state entropy of a dual CFT.

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