Holographic superconductivity in the large D expansion

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.

21 pages, 7 figures. v2: minor clarifications, refs added, lighter pdf file

References in corpus (2)

• Building an AdS/CFT superconductor
• High and Low Dimensions in The Black Hole Negative Mode

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