Hawking and Page on the brane

TL;DR

This paper explores the duality between phase transitions in a conformal field theory on AdS space and bulk gravitational phenomena, revealing a sequence of transitions including black string instabilities and black hole evaporation.

Contribution

It provides a novel dual bulk description of the Hawking-Page transition and related instabilities in the context of AdS/CFT correspondence.

Findings

Hawking-Page transition corresponds to a black string and thermal gas phase transition in AdS.

Black string develops Gregory Laflamme instability at lower temperatures.

Black hole evaporation is dual to the black string instability.

Abstract

We show that the Hawking-Page phase transition of a CFT on AdS_{d-1} weakly coupled to gravity has a dual bulk description in terms of a phase transition between a black string and a thermal gas on AdS_{d}. At even lower temperatures the black string develops a Gregory Laflamme instability, which is dual to black hole evaporation in the boundary theory.