The CFT-interpolating Black Hole in Three Dimensions

Simple item page
dc.creatorHotta, K.
dc.creatorHyakutake, Y.
dc.creatorKubota, T.
dc.creatorNishinaka, T.
dc.creatorTanida, H.
dc.date2008-11-06
dc.date2008-12-08
dc.date.accessioned2026-07-07T12:40:24Z
dc.date.available2026-07-07T12:40:24Z
dc.descriptionWe present a new exact black hole solution in three dimensional Einstein gravity coupled to a single scalar field. This is one of the extended solutions of the BTZ black hole and has in fact $\textrm{AdS}_3$ geometries both at the spatial infinity and at the event horizon. An explicit derivation of Virasoro algebras for $\textrm{CFT}_2$ at the two boundaries is shown to be possible à la Brown and Henneaux's calculation. If we regard the scalar field as a running coupling in the dual two dimensional field theory, and its flow in the bulk as the "holographic" renormalization group flow, our black hole should interpolate the two $\textrm{CFT}_2$ living at the infinity and at the horizon. Following the Hamilton-Jacobi analysis by de Boer, Verlinde and Verlinde, we calculate the central charges $c_{\textrm{UV}}$ and $c_{\textrm{IR}}$ for the $\textrm{CFT}_2$ on the infinity and the horizon, respectively. We also confirm that the inequality $c_{\textrm{IR}} < c_{\textrm{UV}}$ is satisfied, which is consistent with the Zamolodchikov's c-theorem.
dc.description20 pages, 2 figures, references added
dc.identifierhttps://arxiv.org/abs/0811.0910
dc.identifierhttp://arxiv.org/abs/0811.0910
dc.identifierJHEP 0901:010,2009
dc.identifierdoi:10.1088/1126-6708/2009/01/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219431
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe CFT-interpolating Black Hole in Three Dimensions
dc.typetext

Files

Collections

arXiv