Gravity duals for non-relativistic CFTs
arXiv:0804.4053 · doi:10.1103/PhysRevLett.101.061601
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.
12 pages; v2, v3, v4: added references, minor corrections; v3: cleaned up and generalized dust; v4: closer to published version
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Cited by in corpus (19)
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- Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
- Remark on quantum mechanics with conformal Galilean symmetry
- Supersymmetric non-relativistic geometries in M-theory
- Non-relativistic metrics with extremal limits
- N=2 superconformal Newton-Hooke algebra and many-body mechanics
- R^2 Corrections to Asymptotically Lifshitz Spacetimes
- AdS/NRCFT for the (super) Calogero model
- Inhomogeneous magnetic field in AdS/CFT superconductor
- Observables and Correlators in Nonrelativistic ABJM Theory
- Turbulence and Holography
- Towards Gravity solutions of AdS/CMT
- Null Melvin Twist to Sakai-Sugimoto model
- More gravity solutions of AdS/CMT
- Holographic Thermodynamics and Transport of Flavor Fields
- Exotic Newton-Hooke group, noncommutative plane and superconformal symmetry