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RG flow and thermodynamics of causal horizons in higher-derivative AdS gravity

Banerjee, Shamik and Bhattacharyya, Arpan (2016) RG flow and thermodynamics of causal horizons in higher-derivative AdS gravity. In: JOURNAL OF HIGH ENERGY PHYSICS (5).

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Official URL: http://dx.doi.org/10.1007/JHEP05(2016)126


In arXiv:1508.01343 hep-th], one of the authors proposed that in AdS/CFT the gravity dual of the boundary c-theorem is the second law of thermodynamics satisfied by causal horizons in AdS and this was verified for Einstein gravity in the bulk. In this paper we verify this for higher derivative theories. We pick up theories for which an entropy expression satisfying the second law exists and show that the entropy density evaluated on the causal horizon in a RG flow geometry is a holographic c-function. We also prove that given a theory of gravity described by a local covariant action in the bulk a sufficient condition to ensure holographic c-theorem is that the second law of causal horizon thermodynamics be satisfied by the theory. This allows us to explicitly construct holographic c-function in a theory where there is curvature coupling between gravity and matter and standard null energy condition cannot be defined although second law is known to hold. Based on the duality between c-theorem and the second law of causal horizon thermodynamics proposed in arXiv:1508.01343 hep-th] and the supporting calculations of this paper we conjecture that every Unitary higher derivative theory of gravity in AdS satisfies the second law of causal horizon thermodynamics. If this is not true then c-theorem will be violated in a unitary Lorentz invariant field theory.

Item Type: Journal Article
Publisher: SPRINGER
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: AdS-CFT Correspondence; Classical Theories of Gravity; Renormalization Group
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 22 Jun 2016 05:57
Last Modified: 22 Jun 2016 05:57
URI: http://eprints.iisc.ac.in/id/eprint/54047

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