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Holographic c-theorems in arbitrary dimensions

Myers, Robert C and Sinha, Aninda (2011) Holographic c-theorems in arbitrary dimensions. In: Journal of High Energy Physics, 2011 (1). pp. 1-53.

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We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate non-unitary operators in the boundary theory and demonstrate that all of these theories obey a holographic c-theorem. In cases where the dual CFT is even-dimensional, we show that the quantity that flow is the central charge associated with the A-type trace anomaly. Here, unlike in conventional holographic constructions with Einstein gravity, we are able to distinguish this quantity from other central charges or the leading coefficient in the entropy density of a thermal bath. In general, we are also able to identify this quantity with the coefficient of a universal contribution to the entanglement entropy in a particular construction. Our results suggest that these coefficients appearing in entanglement entropy play the role of central charges in odd-dimensional CFT's. We conjecture a new c-theorem on the space of odd-dimensional field theories, which extends Cardy's proposal for even dimensions. Beyond holography, we were able to show that for any even-dimensional CFT, the universal coefficient appearing the entanglement entropy which we calculate is precisely the A-type central charge.

Item Type: Journal Article
Publication: Journal of High Energy Physics
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Keywords: AdS-CFT Correspondence;Holography and condensed matter physics (AdS/CMT);Renormalization Group
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 12 Apr 2011 11:44
Last Modified: 12 Apr 2011 11:44
URI: http://eprints.iisc.ac.in/id/eprint/36572

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