Gauge and Gravitational Anomalies and Hawking Radiation of Rotating BTZ Black Holes

TL;DR

This paper derives the Hawking radiation flux for rotating BTZ black holes using gauge and gravitational anomaly cancellation, confirming the blackbody radiation at the Hawking temperature.

Contribution

It demonstrates the anomaly cancellation method for Hawking radiation specifically applied to rotating BTZ black holes, extending previous anomaly-based derivations.

Findings

Hawking flux matches blackbody radiation at Hawking temperature

Gauge and gravitational anomalies are canceled by the Hawking flux

Method confirms anomaly cancellation approach for rotating BTZ black holes

Abstract

In this paper we obtain the flux of Hawking radiation from Rotating BTZ black holes from gauge and gravitational anomalies point of view. Then we show that the gauge and gravitational anomaly in the BTZ spacetime is cancelled by the total flux of a 2-dimensional blackbody at the Hawking temperature of the spacetime.