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.

19 pages

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• Magnetized Kerr-Newman-Taub-NUT spacetimes
• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Hidden conformal symmetry for dyonic Kerr-Sen black hole and its gauged family
• Rotating and charged Taub-NUT-(A)dS spacetimes on a 3-brane
• Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
• Dual CFT on Nariai limit for Kerr-Sen-dS black holes
• Hidden conformal symmetry and pair production near the cosmological horizon in Kerr-Newman-Taub-NUT-de Sitter spacetime
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• Near-extremal Kerr-like ECO in the Kerr/CFT Correspondence in Higher Spin Perturbations
• New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity