Hawking radiation by Kerr black holes and conformal symmetry

TL;DR

This paper demonstrates that the thermal radiation spectrum of Kerr and Schwarzschild black holes can be derived from a two-dimensional conformal symmetry near the horizon, supporting the link between black hole physics and conformal field theory.

Contribution

It provides an explicit derivation of Hawking radiation spectrum using conformal symmetry, strengthening the connection between black hole thermodynamics and conformal field theories.

Findings

Spectrum derived from conformal symmetry near horizon

Supports Kerr-black hole and conformal field theory relation

Reinforces the role of 2D conformal symmetry in black hole thermodynamics

Abstract

The exponential blueshift associated with the event horizon of a black hole makes conformal symmetry play a fundamental role in accounting for its thermal properties. Using a derivation based on two-point functions, we show that the spectrum of thermal radiation of scalar particles by Kerr (and Schwarzschild) black holes can be explicitly derived on the basis of a $2$-dimensional conformal symmetry arising in the wave equation near the horizon. This result reinforces the recently conjectured relation between Kerr geometry and a $2$-dimensional conformal field theory.