n+1 Dimensional Gravity duals to quantum criticalities with spontaneous symmetry breaking

Abstract

We reexamine the charged AdS domain wall solution to the Einstein-Abelian-Higgs model proposed by Gubser et al as holographic superconductors at quantum critical points and comment on their statement about the uniqueness of gravity solutions. We generalize their explorations from 3+1 dimensions to arbitrary $n+1$Ds and find that the $n+1⩾5$D charged AdS domain walls are unstable against electric perturbations.

version to appear in commun. theor. phys

References in corpus (4)

• Zero Temperature Limit of Holographic Superconductors
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Quantum critical superconductors in string theory and M-theory
• Normalizable fermion modes in a holographic superconductor

Cited by in corpus (1)

• Conductivity and entanglement entropy of high dimensional holographic superconductors