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Thermodynamics of higher spin black holes in 3D

Justin R David, Michael Ferlaino, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2012, Issue: 11, Start page: 135

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1007/JHEP11(2012)135

Abstract

We examine the thermodynamic properties of higher spin black hole solutions in AdS3 employing the Chern-Simons formulation of higher spin theory, in the presence of a chemical potential for spin-3 charge. The latter acts as an irrelevant deformation of the dual CFT with W3×W3 symmetry. The smoothnes...

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Published in: Journal of High Energy Physics
Published: Springer 2012
URI: https://cronfa.swan.ac.uk/Record/cronfa13648
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Abstract: We examine the thermodynamic properties of higher spin black hole solutions in AdS3 employing the Chern-Simons formulation of higher spin theory, in the presence of a chemical potential for spin-3 charge. The latter 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-3/2 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.
College: Faculty of Science and Engineering
Issue: 11
Start Page: 135