The gravity dual of a p-wave superconductor

Steven S. Gubser, Silviu S. Pufu

Research output: Contribution to journalArticle

287 Scopus citations

Abstract

We construct black hole solutions to the Yang-Mills equations in an AdS 4-Schwarzschild background which exhibit superconductivity. What makes these backgrounds p-wave superconductors is that the order parameter is a vector, and the conductivities are strongly anisotropic in a manner that is suggestive of a gap with nodes. The low-lying excitations of the normal state have a relaxation time which grows rapidly as the temperature decreases, consistent with the absence of impurity scattering. A numerical exploration of quasinormal modes close to the transition temperature suggests that p-wave backgrounds are stable against perturbations analogous to turning on a p+ip gap, whereas p+ip-wave configurations are unstable against turning into pure p-wave backgrounds.

Original languageEnglish (US)
Article number033
JournalJournal of High Energy Physics
Volume2008
Issue number11
DOIs
StatePublished - Nov 1 2008

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • 1/N expansion
  • AdS-CFT correspondence
  • Black holes
  • Strong coupling expansion

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