English

An Exact Hairy Black Hole Solution for AdS/CFT Superconductors

High Energy Physics - Theory 2009-08-30 v2

Abstract

We provide an exact hairy black hole solution to an n+1n+1 dimensional complex scalar field model coupled with gravity. The model is characterized by a potential with one parameter. Depending on the magnitude of this parameter, the effective mass square of the scalar field can be both positive and negative. No matter what case it is, there are temperature ranges in which the hairy black hole is thermodynamically stable against decaying into its no-hair counterpart. We use this solution as an AdS/CFT superconductor model and study its conductivity-frequency relation and find typical features observed in other AdS/CFT superconductor models.

Keywords

Cite

@article{arxiv.0903.2620,
  title  = {An Exact Hairy Black Hole Solution for AdS/CFT Superconductors},
  author = {Ding-fang Zeng},
  journal= {arXiv preprint arXiv:0903.2620},
  year   = {2009}
}

Comments

add new references, correct some typos, revise one errors in the numerical calculation of conductivities

R2 v1 2026-06-21T12:40:45.713Z