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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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spelling 2020-07-16T12:32:11.0400290 v2 13648 2012-12-12 Thermodynamics of higher spin black holes in 3D 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2012-12-12 SPH 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. Journal Article Journal of High Energy Physics 2012 11 135 Springer 31 12 2012 2012-12-31 10.1007/JHEP11(2012)135 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T12:32:11.0400290 2012-12-12T19:19:38.0321153 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Justin R David 1 Michael Ferlaino 2 Prem Kumar 0000-0003-0867-4213 3
title Thermodynamics of higher spin black holes in 3D
spellingShingle Thermodynamics of higher spin black holes in 3D
Prem Kumar
title_short Thermodynamics of higher spin black holes in 3D
title_full Thermodynamics of higher spin black holes in 3D
title_fullStr Thermodynamics of higher spin black holes in 3D
title_full_unstemmed Thermodynamics of higher spin black holes in 3D
title_sort Thermodynamics of higher spin black holes in 3D
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Justin R David
Michael Ferlaino
Prem Kumar
format Journal article
container_title Journal of High Energy Physics
container_volume 2012
container_issue 11
container_start_page 135
publishDate 2012
institution Swansea University
doi_str_mv 10.1007/JHEP11(2012)135
publisher Springer
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description 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.
published_date 2012-12-31T03:15:37Z
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score 11.012678

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