Hawking radiation from rotating black holes in anti-de Sitter spaces via gauge and gravitational anomalies

TL;DR

This paper extends the anomaly cancellation method to derive Hawking radiation from rotating black holes in anti-de Sitter spaces, showing that fluxes match blackbody radiation at Hawking temperature with chemical potential.

Contribution

It generalizes the anomaly cancellation approach to rotating AdS black holes, incorporating gauge and gravitational anomalies in dragging coordinate systems.

Findings

Charge and energy fluxes match blackbody radiation at Hawking temperature.

Fluxes are consistent with gauge invariance and covariance restoration.

Method applies to rotating black holes in AdS spaces.

Abstract

Robinson-Wilczek's recent work, which treats Hawking radiation as a compensating flux to cancel gravitational anomaly at the horizon of a Schwarzschild-type black hole, is extended to study Hawking radiation of rotating black holes in anti-de Sitter spaces, especially that in dragging coordinate system, via gauge and gravitational anomalies. The results show that in order to restore gauge invariance and general coordinate covariance at the quantum level in the effective field theory, the charge and energy flux by requiring to cancel gauge and gravitational anomalies at the horizon, must have a form equivalent to that of a $(1+1)$-dimensional blackbody radiation at Hawking temperature with an appropriate chemical potential.