Thermodynamics of Constant Curvature Black Holes Through Semi-Classical Tunneling

TL;DR

This paper investigates the semi-classical tunneling process of scalar and fermion particles from Constant Curvature Black Holes, revealing the importance of near-horizon symmetries in deriving Hawking radiation and temperature.

Contribution

It demonstrates the calculation of Hawking temperature for Constant Curvature Black Holes via tunneling, emphasizing the role of near-horizon symmetries in the process.

Findings

Calculated emission rates for scalars and fermions.

Confirmed the Hawking temperature matches expected values.

Highlighted the dependence of tunneling on near-horizon symmetries.

Abstract

We study the semi-classical tunneling of scalar and fermion fields from the horizon of a Constant Curvature Black Hole, which is locally AdS and whose five-dimensional analogue is dual to ${\cal N}=4$ Super Yang-Mills. In particular, we highlight the strong reliance of the tunneling method for Hawking radiation on near-horizon symmetries, a fact often hidden behind the algorithmic procedure with which the tunneling approach tends to be used. We ultimately calculate the emission rate of scalars and fermions, and hence the black hole's Hawking temperature.