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Exact Gravity Dual of a Gapless Superconductor

arXiv:0902.0733 · doi:10.1088/1126-6708/2009/07/026

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. Below a critical temperature, 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.

21 pages, 8 figures, a section on the stability of the MTZ black hole is added, references are added, version to be published in JHEP