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arXiv · 0912.0512

Quantum Criticality and Holographic Superconductors in M-theory

Jerome Gauntlett·Julian Sonner·Toby Wiseman
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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 X 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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Jerome Gauntlett, Julian Sonner, Toby Wiseman. 2009-12-03. Quantum Criticality and Holographic Superconductors in M-theory. https://doi.org/10.1007/jhep02(2010)060

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