Hawking-Page phase transition on the brane

Abstract

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