We attempt to generalize the AdS/CFT correspondence to non-relativistic
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 negative
cosmological constant coupled to pressureless dust. We discuss realizations of
the dust, which include a bulk superconductor. We develop the holographic
dictionary and compute some two-point correlators. A strange aspect of the
correspondence is that the bulk geometry has two extra noncompact dimensions.
%0 Journal Article
%1 Balasubramanian2008Gravity
%A Balasubramanian, Koushik
%A McGreevy, John
%D 2008
%K schrodinger
%T Gravity duals for non-relativistic CFTs
%U http://arxiv.org/abs/0804.4053
%X We attempt to generalize the AdS/CFT correspondence to non-relativistic
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 negative
cosmological constant coupled to pressureless dust. We discuss realizations of
the dust, which include a bulk superconductor. We develop the holographic
dictionary and compute some two-point correlators. A strange aspect of the
correspondence is that the bulk geometry has two extra noncompact dimensions.
@article{Balasubramanian2008Gravity,
abstract = {{We attempt to generalize the AdS/CFT correspondence to non-relativistic
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 negative
cosmological constant coupled to pressureless dust. We discuss realizations of
the dust, which include a bulk superconductor. We develop the holographic
dictionary and compute some two-point correlators. A strange aspect of the
correspondence is that the bulk geometry has two extra noncompact dimensions.}},
added-at = {2019-02-26T10:37:35.000+0100},
archiveprefix = {arXiv},
author = {Balasubramanian, Koushik and McGreevy, John},
biburl = {https://www.bibsonomy.org/bibtex/28e5325d940579681f825d3418ddefee9/acastro},
citeulike-article-id = {2744375},
citeulike-linkout-0 = {http://arxiv.org/abs/0804.4053},
citeulike-linkout-1 = {http://arxiv.org/pdf/0804.4053},
day = 1,
eprint = {0804.4053},
interhash = {5cb317a9215d74c9f8dd6ff716cb51ec},
intrahash = {8e5325d940579681f825d3418ddefee9},
keywords = {schrodinger},
month = aug,
posted-at = {2010-07-12 02:10:20},
priority = {2},
timestamp = {2019-02-26T10:37:35.000+0100},
title = {{Gravity duals for non-relativistic CFTs}},
url = {http://arxiv.org/abs/0804.4053},
year = 2008
}