Holographic Derivation of Kerr-Newman Scattering Amplitudes for General Charge and Spin

TL;DR

This work extends the Kerr/CFT correspondence to charged and spinning black holes by deriving near-region scattering amplitudes for charged scalars and fermions on Kerr-Newman, as well as spin-1 and spin-2 perturbations on Kerr, from dual 2D CFT correlators. The authors solve the near-horizon wave equations, perform region matching, and identify conformal data such as h_L, h_R and T_L that encode absorption probabilities as CFT two-point function Fourier transforms. Across all cases, the gravity results reproduce the CFT predictions, providing strong evidence for Kerr-Newman/CFT and illustrating the universality of the duality via the near-horizon diffeomorphism structure. The paper thereby unifies classical Teukolsky-based scattering with holographic CFT computations, highlighting the role of the near-horizon geometry and its enhanced symmetries in holographic black hole scattering.

Abstract

Near-superradiant scattering of charged scalars and fermions by a near-extreme Kerr-Newman black hole and photons and gravitons by a near-extreme Kerr black hole are computed as certain Fourier transforms of correlators in a two-dimensional conformal field theory. The results agree with the classic spacetime calculations from the 1970s, thereby providing good evidence for a conjectured Kerr-Newman/CFT correspondence.