Thermodynamics of higher spin black holes in 3D

David, Justin R. ; Ferlaino, Michael ; Kumar, S. Prem (2012) Thermodynamics of higher spin black holes in 3D Journal of High Energy Physics, 2012 (11). ISSN 1029-8479

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We examine the thermodynamic properties of recently constructed black hole solutions in SL(3, R) × 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 W3×W3 symmetry. The smoothness or holonomy conditions admit four branches of solutions describing a flow between two AdS3 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(2)3×W(2)3 symmetry deformed by a spin-32 current. This allows to identify the precise map between UV and IR 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(2)3×W(2)3 CFT.

Item Type:Article
Source:Copyright of this article belongs to Springer Nature Switzerland AG.
Keywords:Gauge-gravity Correspondence; Ads-cft Correspondence; Conformal and W Symmetry; Black Holes.
ID Code:117023
Deposited On:14 Apr 2021 08:33
Last Modified:14 Apr 2021 08:33

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