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Quantum criticality and holographic superconductors in M-theory

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Abstract

We present a consistent Kaluza-Klein truncation of D = 11 supergravity on an arbitrary seven-dimensional Sasaki-Einstein space (SE 7) to a D = 4 theory containing a metric, a gauge-field, a complex scalar field and a real scalar field. We use this D = 4 theory to construct various black hole solutions that describe the thermodynamics of the d = 3 CFTs dual to skew-whiffed AdS 4 × SE 7 solutions. We show that these CFTs have a rich phase diagram, including holographic superconductivity with, generically, broken parity and time reversal invariance. At zero temperature the superconducting solutions are charged domain walls with a universal emergent conformal symmetry in the far infrared.

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Authors and Affiliations

  1. Theoretical Physics Group, Blackett Laboratory, Imperial College, Prince Consort Rd, London, SW7 2AZ, U.K.

    Jerome P. Gauntlett, Julian Sonner & Toby Wiseman

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  1. Jerome P. Gauntlett
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  2. Julian Sonner
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  3. Toby Wiseman
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Correspondence to Jerome P. Gauntlett.

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Gauntlett, J.P., Sonner, J. & Wiseman, T. Quantum criticality and holographic superconductors in M-theory. J. High Energ. Phys. 2010, 60 (2010). https://doi.org/10.1007/JHEP02(2010)060

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