Exact gravity dual of a gapless superconductor

Abstract

A model of an exact gravity dual of a gapless superconductor is presented in which the condensate is provided by a charged scalar field coupled to a bulk black hole of hyperbolic horizon in asymptotically AdS spacetime. A critical temperature exists at which the mass of the black hole vanishes and a scaling symmetry emerges. Below the critical point, the black hole acquires its hair through a phase transition while an electromagnetic perturbation of the background Maxwell field determines the conductivity of the boundary theory. © 2009 SISSA.