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

TL;DR

This paper explores the duality between Kerr-AdS black holes in various dimensions and non-relativistic conformal quantum mechanical theories, analyzing their thermodynamics and embedding in string and M-theory.

Contribution

It provides a general framework for the discrete light cone quantization of Kerr-AdS black holes and their thermodynamic properties in diverse dimensions.

Findings

Derived formulas for thermodynamics of Kerr-AdS black holes in higher dimensions.

Proposed duality between Kerr-AdS black holes and non-relativistic conformal quantum mechanics.

Discussed embedding in string theory and M-theory.

Abstract

We study the discrete light cone quantization of Kerr-AdS_{d+3} 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-AdS_4 and Kerr-AdS_6 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.