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Quantum Criticality and Holographic Superconductors in M-theory

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arxiv 0912.0512 v2 pith:DAPVI3YG submitted 2009-12-03 hep-th

classification hep-th
keywords solutionscftsfieldholographicscalartheoryarbitraryblack
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 5 Pith papers

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