Thermodynamics of higher spin black holes in 3D

David, Justin R and Ferlaino, Michael and Kumar, Prem S (2012) Thermodynamics of higher spin black holes in 3D. In: JOURNAL OF HIGH ENERGY PHYSICS (11).

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Abstract

We examine the thermodynamic properties of recently constructed black hole solutions in SL(3, R) x SL(3, R) Chern-Simons theory in the presence of a chemical potential for spin-3 charge, which acts as an irrelevant deformation of the dual CFT with W-3 X W-3 symmetry. The smoothness or holonomy conditions admit four branches of solutions describing a flow between two AdS(3) backgrounds corresponding to two different CFTs. The dominant branch at low temperatures, connected to the BTZ black hole, merges smoothly with a thermodynamically unstable branch and disappears at higher temperatures. We confirm that the UV region of the flow satisfies the Ward identities of a CFT with W-3((2)) x W-3((2)) symmetry deformed by a spin-3/2 current. This allows to identify the precise map between UV and HI thermodynamic variables. We find that the high temperature regime is dominated by a black hole branch whose thermodynamics can only be consistently inferred with reference to this W-3((2)) x W-3((2)) CFT.

Item Type:	Journal Article
Publication:	JOURNAL OF HIGH ENERGY PHYSICS
Publisher:	SPRINGER
Additional Information:	Copy right for this article belongs to SPRINGER, NEW YORK.
Keywords:	Gauge-gravity correspondence;AdS-CFT Correspondence;Conformal and W Symmetry;Black Holes
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	04 Feb 2013 10:59
Last Modified:	04 Feb 2013 10:59
URI:	http://eprints.iisc.ac.in/id/eprint/45741

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