English

Quantum Criticality and Holographic Superconductors in M-theory

High Energy Physics - Theory 2014-11-20 v2

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.

Keywords

Cite

@article{arxiv.0912.0512,
  title  = {Quantum Criticality and Holographic Superconductors in M-theory},
  author = {Jerome Gauntlett and Julian Sonner and Toby Wiseman},
  journal= {arXiv preprint arXiv:0912.0512},
  year   = {2014}
}

Comments

52 pages, 16 figures, 3 appendices; minor changes, version to be published in JHEP