Hidden conformal symmetry for Kerr-Newman-NUT-AdS black holes

Abstract

We find the non-extremal Kerr-Newman-NUT-AdS black holes are holographically dual to the hidden two-dimensional conformal field theories. We explicitly construct two different conformal field theories (known as the J and Q pictures) dual to the black holes, which correspond to the angular momentum J, and the electric charge Q of the black holes. Moreover, we show that the two pictures are included in a more general conformal field theory (known as the general picture). We also consider the extremal Kerr-Newman-NUT-AdS black holes, and investigate all the possible dual pictures. We find agreement between the macroscopic Bekenstein-Hawking entropy of the black holes and the microscopic Cardy entropy of the conformal field theory. Moreover, we calculate the absorption cross-section of the scalar probes in the background of the non-extremal and also the extremal Kerr-Newman-NUT-AdS black holes. We find perfect agreement with the microscopic results from the conformal field theory.