Hawking radiation by Kerr black holes and conformal symmetry

Understand

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.