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+1Ds and find that the n+1≥slant5D charged AdS domain walls are unstable against electric perturbations.
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