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


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.

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D. Zeng and K. Zhao, "n + 1 Dimensional Gravity Duals to Quantum Criticalities with Spontaneous Symmetry Breaking," Journal of Modern Physics, Vol. 4 No. 6, 2013, pp. 738-745. doi: 10.4236/jmp.2013.46100.

Conflicts of Interest

The authors declare no conflicts of interest.


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