%0 Generic %1 David2012Thermodynamics %A David, Justin R. %A Ferlaino, Michael %A Kumar, S. Prem %D 2012 %K ads3-cft2, arxiv, btz, higher-spin %T Thermodynamics of higher spin black holes in 3D %U http://arxiv.org/abs/1210.0284 %X 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 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\_3^(2) x W\_3^(2) CFT.

@misc{David2012Thermodynamics, 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 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\_3^(2) x W\_3^(2) CFT.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {David, Justin R. and Ferlaino, Michael and Kumar, S. Prem}, biburl = {https://www.bibsonomy.org/bibtex/204fc6b4312f07ed7e833f1c997ce8133/acastro}, citeulike-article-id = {11374264}, citeulike-linkout-0 = {http://arxiv.org/abs/1210.0284}, citeulike-linkout-1 = {http://arxiv.org/pdf/1210.0284}, day = 1, eprint = {1210.0284}, interhash = {fabfed97cdc7d6f3286e10754dae82fe}, intrahash = {04fc6b4312f07ed7e833f1c997ce8133}, keywords = {ads3-cft2, arxiv, btz, higher-spin}, month = oct, posted-at = {2012-10-03 03:57:58}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Thermodynamics of higher spin black holes in 3D}}, url = {http://arxiv.org/abs/1210.0284}, year = 2012 }