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Gravity duals for non-relativistic CFTs

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arxiv 0804.4053 v4 pith:A4KGVMEN submitted 2008-04-25 hep-th cond-mat.othernucl-th

Koushik Balasubramanian , John McGreevy This is my paper · ORCID
classification hep-thcond-mat.othernucl-th
keywords bulkcorrespondencedustfamilygravitynon-relativisticsomeaspect
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 6 Pith papers

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