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Gravity Duals for Nonrelativistic Conformal Field Theories

Author(s)
Balasubramanian, Koushik; McGreevy, John
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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.
Date issued
2008-08
URI
http://hdl.handle.net/1721.1/51338
Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
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
ISSN
0031-9007

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