Quantum criticality and holographic superconductors in M-theory

By J. Gauntlett, J. Sonner, T. Wiseman. 2009

226 citations recorded by the source corpus.

We present a consistent Kaluza-Klein truncation of D = 11 supergravity on an arbitrary seven-dimensional Sasaki-Einstein space (SE7) 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 AdS4 × SE7 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.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0d2c3a1aaab7c67409b5fe47efa052974d6b0537

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Citations in the corpus

Spatially modulated instabilities of magnetic black branes (2011, background): “6) of [6] and we then set h = χ = a = 0 to obtain”
Semi-local quantum liquids (2011, background): “includes AdS4 as a special example) [61–64] in the infrared.”
Wrapped M5-branes, consistent truncations and AdS/CMT (2010, unknown): “As an example, additional instabilities appearing outside of the D = 4 KK truncation used to construct holographic superconductors (for the special case of the seven-sphere) in [12, 13] were studied in [15].”
Introduction to holographic superconductor models (2015, unknown): “[23, 24, 25, 26, 27, 28].”
Parity-violating hydrodynamics in 2 + 1 dimensions (2011, background): “1), including the worldvolume theory of probe branes dual to flavor multiplets [65], as well as truncations of 11dimensional supergravity [66].”
Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “However, the near horizon behaviour of the numerically obtained solution in [35] is different from our solution (2.”
Effective holographic theories for low-temperature condensed matter systems (2010, background): “In the finite charge density case, solutions to such theories have been reconsidered in view of holographic applications, [21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33].”
Integrating out geometry: holographic Wilsonian RG and the membrane paradigm (2010, methodology): “While we use the example of a neutral scalar field for illustration, it should be borne in mind that the discussion immediately generalizes to a charge scalar field and spinors.17 An extremal charged black hole in AdSd+1 has a metric given by”
Holographic striped phases (2011, background): “Although this demonstrates that such instabilities are indeed present in a top down context, it should be noted that for this particular class of theories, the known superfluid instability involving the charged scalar field, found in [5][6], already sets in at a higher temperature.”
Holographic Quantum Matter (2016, background): “Similarly the four dimensional action (69) can be extended to [185; 223; 276; 277]”