In a previous paper, it has been shown that the entropy of non-extremal black holes in Warped Anti-de Sitter (WAdS) spaces in massive gravity can be computed microscopically in terms of a dual conformal field theory. Here, we extend this computation to a set of asymptotic boundary conditions that, while still gathering the WAdS3 black holes, also allow for new solutions that are not locally equivalent to WAdS3 space, and therefore are associated to the local degrees of freedom of the theory (bulk massive gravitons). After presenting explicit examples of such geometries, we compute the asymptotic charge algebra and show that it is generated by the semi-direct sum of Virasoro algebra and an affine Kac-Moody algebra. The value of the central charge turns out to be exactly the one that leads to reproduce the entropy of the WAdS3 black holes. This result probes the WAdS3/CFT2 correspondence in presence of bulk gravitons.
WAdS3/CFT2 correspondence in presence of bulk massive gravitons / Donnay, L.; Giribet, G.. - (2017), pp. 4216-4221. (Intervento presentato al convegno 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories tenutosi a University of Rome "La Sapienza", ita nel 2015) [10.1142/9789813226609_0564].
WAdS3/CFT2 correspondence in presence of bulk massive gravitons
Donnay, L.;
2017-01-01
Abstract
In a previous paper, it has been shown that the entropy of non-extremal black holes in Warped Anti-de Sitter (WAdS) spaces in massive gravity can be computed microscopically in terms of a dual conformal field theory. Here, we extend this computation to a set of asymptotic boundary conditions that, while still gathering the WAdS3 black holes, also allow for new solutions that are not locally equivalent to WAdS3 space, and therefore are associated to the local degrees of freedom of the theory (bulk massive gravitons). After presenting explicit examples of such geometries, we compute the asymptotic charge algebra and show that it is generated by the semi-direct sum of Virasoro algebra and an affine Kac-Moody algebra. The value of the central charge turns out to be exactly the one that leads to reproduce the entropy of the WAdS3 black holes. This result probes the WAdS3/CFT2 correspondence in presence of bulk gravitons.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.