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A. Castro, D. Grumiller, F. Larsen, R. McNees:
"Holographic Description of AdS_2 Black Holes";
J. High Energy Phys., 0811 (2008), 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.

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.

holographic renormalization, boundary counterterms, two-dimensional Maxwell-dilaton gravity, AdS black hole thermodynamics

http://dx.doi.org/10.1088/1126-6708/2008/11/052

http://publik.tuwien.ac.at/files/PubDat_170108.4264v2

Project Head Anton Rebhan:
Gravitation, Chern-Simons Erweiterungen, Topologie und Anwendungen in der Festkörperphysik