An Analytic Holographic Superconductor

Details An Analytic Holographic Superconductor An Analytic Holographic Superconductor

2010-03-17

arxiv.org/abs/1003.3278v3

Phys.Rev.D81:126009,2010

Physics

High Energy Physics

High Energy Physics - Theory

20 pages; v2 ref, comment about non-mean field exponents added; v3 several typos fixed

Scientific paper

10.1103/PhysRevD.81.126009

We investigate a holographic superconductor that admits an analytic treatment near the phase transition. In the dual 3+1 dimensional field theory, the phase transition occurs when a scalar operator of scaling dimension two gets a vacuum expectation value. We calculate current-current correlation functions along with the speed of second sound near the critical temperature. We also make some remarks about critical exponents. An analytic treatment is possible because an underlying Heun equation describing the zero mode of the phase transition has a polynomial solution. Amusingly, the treatment here may generalize for an order parameter with any integer spin, and we propose a Lagrangian for a spin two holographic superconductor.

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