Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes

Abstract: We find generators of the conformal symmetry for the class of Kerr-Newman-NUT-AdS black holes from the deformed scalar probe equation. We find two classes of solutions for the generators (also known as conformal J and Q pictures). The two classes of deformed generators are the extension of similar generators for the regular conformal symmetry. Moreover, we find that the two pictures can be generalized and extended into a general picture. In each picture, the generators produce an extended local family of SL(2,R)_L \times SL(2,R)_R hidden conformal symmetries for the Kerr-Newman-NUT-AdS black holes which are parameterized by one deformation parameter. We find the absorption cross-section of the scalar probes for the Kerr-Newman-NUT-AdS black holes, which in turn, supports the existence of Kerr/CFT correspondence. Moreover, our deformed conformal generators for the Kerr-Newman-NUT-AdS black holes provide the deformed conformal generators for the non-rotating Reissner-Nordstrom-NUT-AdS black holes.