Abstract
We develop the holographic renormalization of AdS2 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 AdS3 energy-momentum tensor and the Brown-Henneaux central charge. As an application of our results we interpret the entropy of AdS2 black holes as the ground state entropy of a dual CFT.
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