Deformed hidden conformal symmetry for rotating black holes

Abstract

The generic non-extremal Kerr-Newman black holes are holographically dual to hidden conformal field theories in two different pictures. The two pictures can be merged together to the CFT duals in general picture that are generated by SL(2, Z) modular group. We find some extensions of the conformal symmetry generators that yield an extended local family of SL(2, R) L × SL(2, R) R hidden conformal symmetries for the Kerr-Newman black holes parameterized by one deformation parameter. The family of deformed hidden conformal symmetry for Kerr-Newman black holes also provides a set of deformed hidden conformal generators for the charged Reissner-Nordstrom black holes. The set of deformed hidden conformal generators reduce to the hidden SL(2, R) conformal generators for the Reissner-Nordstrom black hole for specific value of deformation parameter. We also find agreement between the macroscopic and microscopic entropy and absorption cross section of scalars for the Kerr-Newman black hole by considering the appropriate temperatures and central charges for the deformed CFTs. 1 amg142@campus.usask.ca 2 hms923@campus.usask.ca

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

“…Furthermore, if we keep n to be non-zero, but e = 0 7 , we find the conformal generators for the deformed dual CFT to the Kerr-NUT black hole. Moreover, if we consider the limit where n = 0, we find exactly the known conformal generators for the deformed dual CFT to the Kerr-Newman black hole [65]. We note that setting e, n, 1/l 2 = 0, we find exact results for the deformed dual CFT to the Kerr black hole [58].…”

“…where ρ, σ, γ, δ, C 1 and C 2 are constants. The vector fields L ± and L 0 form an SL(2, R) algebra [49,58,65] […”

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

“…We call the third picture as the general picture, in which there is a modular group SL(2, Z) acting on the torus (φ, χ). The modular group SL(2, Z) of the torus is given by [38]- [40] φ…”

Null geodesics and observables around the Kerr–Sen black hole

“…θ = 0, π), the zeros of Θ(u) are given by the zeros of the function, 9) and Θ(u) has a double zero iff, 10) which reduces to the following simple form,…”