Kerr-AdS black holes and non-relativistic conformal QM theories in diverse dimensions

MARTIN SCHVELLINGER

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

SISSA

Lugar: Trieste-Italy; Año: 2008 vol. 2008 p. 1 - 28

1029-8479

We study the discrete light cone quantization of d+3 dimensional Kerr-AdS black holes with a plane wave boundary. The resulting backgrounds are conjectured to be dual of non-relativist conformal quantum mechanical theories in d spatial dimensions at finite temperature and finite chemical potential. This includes the discrete light cone quantization of Kerr-AdS4 and Kerr-AdS6 black holes. These are conjectured to be dual of non-relativistic conformal quantum mechanical theories in one and three spatial dimensions, respectively, which are defined on plane wave backgrounds. We also consider the case of the BTZ black hole. We calculate thermodynamic properties of these systems by using the gravity dual models. We discuss the embedding of these backgrounds in string theory and M-theory. We give general formulas for the discrete light cone quantization of Kerr-AdS black holes in higher dimensions and their thermodynamic properties.