Gravity Duals for Nonrelativistic Conformal Field Theories
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PhysRevLett_101_061601.pdf
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Author(s)
Balasubramanian, Koushik
McGreevy, John
Date Issued
August 2008
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Balasubramanian, Koushik , and John McGreevy. “Gravity Duals for Nonrelativistic Conformal Field Theories.” Physical Review Letters 101.6 (2008): 061601. (C) 2010 The American Physical Society.
Version
Final published version
Abstract
We attempt to generalize the anti–de Sitter/conformal field theory correspondence to nonrelativistic conformal field theories which are invariant under Galilean transformations. Such systems govern ultracold atoms at unitarity, nucleon scattering in some channels, and, more generally, a family of universality classes of quantum critical behavior. We construct a family of metrics which realize these symmetries as isometries. They are solutions of gravity with a negative cosmological constant coupled to pressureless dust. We discuss realizations of the dust, which include a bulk superconductor. We develop the holographic dictionary and find two-point correlators of the correct form. A strange aspect of the correspondence is that the bulk geometry has two extra noncompact dimensions.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevLett.101.061601
