Gravity duals for non-relativistic CFTs

Details Gravity duals for non-relativistic CFTs Gravity duals for non-relativistic CFTs

2008-04-25

arxiv.org/abs/0804.4053v4

Phys.Rev.Lett.101:061601,2008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; v2, v3, v4: added references, minor corrections; v3: cleaned up and generalized dust; v4: closer to published versio

Scientific paper

10.1103/PhysRevLett.101.061601

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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