TY - JOUR

T1 - Quantum critical superconductors in string theory and M-theory

AU - Gubser, Steven S.

AU - Pufu, Silviu S.

AU - Rocha, Fabio D.

N1 - Funding Information:
We thank C. Herzog, A. Nellore, T. Tesileanu for discussions and for collaboration on closely related topics. We also thank A. Polyakov, S. Sondhi, and A. Yarom for useful discussions. This work was supported in part by the DOE under Grant No. DE-FG02-91ER40671 and by the NSF under award number PHY-0652782 . F.D.R. was supported in part by the FCT grant SFRH/BD/30374/2006 .

PY - 2010/1/18

Y1 - 2010/1/18

N2 - We construct zero-temperature solutions of supergravity theories in five and four dimensions which interpolate between two copies of anti-de Sitter space, one of which preserves an Abelian gauge symmetry while the other breaks it. These domain wall solutions can be lifted to solutions of type IIB string theory and eleven-dimensional supergravity. They describe quantum critical behavior and emergent relativistic conformal symmetry in a superfluid or superconducting state of a strongly coupled dual gauge theory. We include computations of frequency-dependent conductivities which exhibit power law scaling in the infrared, with exponents determined by irrelevant perturbations to the symmetry-breaking anti-de Sitter background.

AB - We construct zero-temperature solutions of supergravity theories in five and four dimensions which interpolate between two copies of anti-de Sitter space, one of which preserves an Abelian gauge symmetry while the other breaks it. These domain wall solutions can be lifted to solutions of type IIB string theory and eleven-dimensional supergravity. They describe quantum critical behavior and emergent relativistic conformal symmetry in a superfluid or superconducting state of a strongly coupled dual gauge theory. We include computations of frequency-dependent conductivities which exhibit power law scaling in the infrared, with exponents determined by irrelevant perturbations to the symmetry-breaking anti-de Sitter background.

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U2 - 10.1016/j.physletb.2009.12.017

DO - 10.1016/j.physletb.2009.12.017

M3 - Article

AN - SCOPUS:73249131848

SN - 0370-2693

VL - 683

SP - 201

EP - 204

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2-3

ER -