TY - JOUR
T1 - Higher spin gravity in 3D
T2 - Black holes, global charges and thermodynamics
AU - Pérez, Alfredo
AU - Tempo, David
AU - Troncoso, Ricardo
N1 - Funding Information:
We thank H. Afshar, G. Barnich, X. Bekaert, E. Bergshoeff, N. Boulanger, C. Bunster, A. Campoleoni, A. Castro, M. Gary, H. González, M. Grigoriev, D. Grumiller, O. Hohm, C. Iazeolla, P. Kraus, S. Pfenninger, R. Rahman, R. Rashkov, P. Sundell, M. Valenzuela, A. Waldron, J. Zanelli, and specially to M. Henneaux, C. Martínez and S. Theisen for many useful discussions and comments. We also wish to thank the organizers of the Workshop on Higher Spin Gravity, hosted by the Erwin Schrödinger Institute (ESI), during April 2012 in Vienna, for the opportunity of presenting this work. We thank the kind hospitality at the Physique théorique et mathématique group of the Université Libre de Bruxelles, the International Solvay Institutes, and the Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut). This work has been partially funded by the Fondecyt grants Nos. 1130658 , 1121031 , 3110122 , 3110141 . The Centro de Estudios Científicos (CECs) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt .
PY - 2013
Y1 - 2013
N2 - Global charges and thermodynamic properties of three-dimensional higher spin black holes that have been recently found in the literature are revisited. Since these solutions possess a relaxed asymptotically AdS behavior, following the canonical approach, it is shown that the global charges, and in particular the energy, acquire explicit nontrivial contributions given by nonlinear terms in the deviations with respect to the reference background. It is also found that there are cases for which the first law of thermodynamics can be readily worked out in the canonical ensemble, i.e., without work terms associated to the presence of higher spin fields, and remarkably, the semiclassical higher spin black hole entropy is exactly reproduced from Cardy formula.
AB - Global charges and thermodynamic properties of three-dimensional higher spin black holes that have been recently found in the literature are revisited. Since these solutions possess a relaxed asymptotically AdS behavior, following the canonical approach, it is shown that the global charges, and in particular the energy, acquire explicit nontrivial contributions given by nonlinear terms in the deviations with respect to the reference background. It is also found that there are cases for which the first law of thermodynamics can be readily worked out in the canonical ensemble, i.e., without work terms associated to the presence of higher spin fields, and remarkably, the semiclassical higher spin black hole entropy is exactly reproduced from Cardy formula.
KW - Black holes
KW - Canonical formalism
KW - Higher spin gravity
UR - http://www.scopus.com/inward/record.url?scp=84884700086&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2013.08.038
DO - 10.1016/j.physletb.2013.08.038
M3 - Article
AN - SCOPUS:84884700086
SN - 0370-2693
VL - 726
SP - 444
EP - 449
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-3
ER -