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Holographic superconductors in quasi-topological gravity

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Abstract

In this paper we study (3+1) dimensional holographic superconductors in quasi-topological gravity which is recently proposed by R. Myers et.al.. Through both analytical and numerical analysis, we find in general the condensation becomes harder with the increase of coupling parameters of higher curvature terms. In particular, comparing with those in ordinary Gauss-Bonnet gravity, we find that positive cubic corrections in quasi-topological gravity suppress the condensation while negative cubic terms make it easier. We also calculate the conductivity numerically for various coupling parameters. It turns out that the universal relation of ω g /T c ≃ 8 is unstable and this ratio becomes larger with the increase of the coupling parameters. A brief discussion on the condensation from the CFT side is also presented.

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Authors and Affiliations

  1. Center for Relativistic Astrophysics and High Energy Physics, Department of Physics, Nanchang University, Nanchang, 330031, China

    Xiao-Mei Kuang, Wei-Jia Li & Yi Ling

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  1. Xiao-Mei Kuang
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  2. Wei-Jia Li
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  3. Yi Ling
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Correspondence to Xiao-Mei Kuang.

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ArXiv ePrint: 1008.4066

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Kuang, XM., Li, WJ. & Ling, Y. Holographic superconductors in quasi-topological gravity. J. High Energ. Phys. 2010, 69 (2010). https://doi.org/10.1007/JHEP12(2010)069

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