Low-temperature behavior of the abelian higgs model in anti-de switter space

Steven S. Gubser, Abhinav Nellore

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


We explore the low-temperature behavior of the Abelian Higgs model in AdS4-temp, away from the probe limit in which back-reaction of matter fields on the metric can be neglected. Over a significant range of charges for the complex scalar, we observe a second order phase transition at finite temperature. The symmetry-breaking states are superconducting black holes. At least when the charge of the scalar is not too small, we observe at low temperatures the emergence of a domain wall structure characterized by a definite index of refraction. We also compute the conductivity as a function of frequency.

Original languageEnglish (US)
Article number008
JournalJournal of High Energy Physics
Issue number4
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • AdS-CFT correspondence
  • Gauge-gravity correspondence


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