n + 1 Dimensional Gravity Duals to Quantum Criticalities with Spontaneous Symmetry Breaking

Dingfang Zeng, Kai Zhao

Physics Department, Beijing University of Technology, Beijing, China.

DOI: 10.4236/jmp.2013.46100                

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 ≥ 5D charged AdS domain walls are unstable against electric perturbations.

Keywords

Quantum Critical Superconductors; Gauge/Gravity Duality

Conflicts of Interest

The authors declare no conflicts of interest.

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