Black Hole Superradiance From Kerr/CFT

TL;DR

This paper demonstrates that the superradiant scattering amplitudes of scalar fields by near-extreme Kerr black holes are exactly reproduced by a dual 2D conformal field theory, supporting the Kerr/CFT correspondence.

Contribution

It provides a precise match between black hole superradiance and a dual CFT description, confirming a key aspect of the Kerr/CFT conjecture.

Findings

Superradiant scattering amplitudes match dual CFT predictions

Black hole corresponds to a thermal state in the dual theory

Supports the Kerr/CFT correspondence for near-extreme Kerr black holes

Abstract

The superradiant scattering of a scalar field with frequency and angular momentum (\omega,m) by a near-extreme Kerr black hole with mass and spin (M,J) was derived in the seventies by Starobinsky, Churilov, Press and Teukolsky. In this paper we show that for frequencies scaled to the superradiant bound the full functional dependence on (\omega,m,M,J) of the scattering amplitudes is precisely reproduced by a dual two-dimensional conformal field theory in which the black hole corresponds to a specific thermal state and the scalar field to a specific operator. This striking agreement corroborates a conjectured Kerr/CFT correspondence.