Hawking radiation from AdS black holes

TL;DR

This paper investigates the phase structure and Hartle-Hawking-like states of quantum fields on asymptotically AdS black holes, using analytic continuation and AdS/CFT correspondence to understand strongly coupled theories and Hawking radiation.

Contribution

It introduces a novel analytic continuation method linking black hole states to low-temperature states on AdS backgrounds and explores the phase structure of large N theories on AdS black holes.

Findings

Relation between equilibrium dynamics on large AdS black holes and low-temperature states on AdS soliton.

Identification of phases for M2-brane superconformal theory on BTZ black hole.

Partial resolution of puzzles related to Hawking radiation on large AdS black holes.

Abstract

We study Hartle-Hawking-like states of quantum field theories on asymptotically AdS black hole backgrounds, with particular regard to the phase structure of interacting theories. By a suitable analytic continuation we show that the equilibrium dynamics of field theories on large asymptotically AdS black holes can be related to the low temperature states of the same field theory on the AdS soliton (or pure AdS) background. This allows us to gain insight into Hartle-Hawking-like states on large-radius Schwarzschild- or rotating-AdS black holes. Furthermore, we exploit the AdS/CFT correspondence to explore the physics of strongly coupled large N theories on asymptotically AdS black holes. In particular, we exhibit a plausibly complete set of phases for the M2-brane world-volume superconformal field theory on a BTZ black hole background. Our analysis partially resolves puzzles previously raised in connection with Hawking radiation on large AdS black holes.