Gravity Duals for Nonrelativistic Conformal Field Theories
Author(s)Balasubramanian, Koushik; McGreevy, John
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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.
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
Physical Review Letters
American Physical Society
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.
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