Abstract
We study holographic superconductivity by expanding the equations in the inverse of the number of spacetime dimensions D. We obtain an analytic expression for the critical temperature as a function of the conformal dimension of the condensate operator. Its accuracy for 3+1-dimensional superconductors is better than 15%. The analysis reveals a simple, and quantitative, explanation for the onset of the superconducting instability, as well as universal features of holographic superconductivity in the large D limit. In particular, this allows to easily compute the effects of backreaction on the critical temperature.
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ArXiv ePrint: 1312.1108
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Emparan, R., Tanabe, K. Holographic superconductivity in the large D expansion. J. High Energ. Phys. 2014, 145 (2014). https://doi.org/10.1007/JHEP01(2014)145
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DOI: https://doi.org/10.1007/JHEP01(2014)145