AdS/CFT duality for non-relativistic field theory

By Walter D. Goldberger. 2008

134 citations recorded by the source corpus.

We formulate a correspondence between non-relativistic conformal field theories (NRCFTs) in d?1 spatial dimensions and gravitational theories in AdSd+2 backgrounds with one compactified lightlike direction. The breaking of the maximal SO(2,d+1) symmetry of AdSd+2 to the non-relativistic conformal group arises from boundary conditions on bulk fields, without the need to introduce non-vacuum sources of energy-momentum. As a check of the proposal, we use the gravitational theory to reproduce the NRCFT state-operator correspondence between scaling dimensions of primary operators and energy eigenstates of the non-relativistic system placed in an external harmonic potential.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0b960030291ff80b5644e8ea112f441375e14a7f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Rangamani
2. Marika Taylor
3. V. Hubeny
4. S. Hartnoll
5. K. Narayan
6. John McGreevy
7. S. Ross
8. Kostas Skenderis

In Nuclear and High Energy Physics

1. Marika Taylor
2. M. Rangamani
3. S. Hartnoll
4. V. Hubeny
5. K. Narayan
6. Kostas Skenderis
7. John McGreevy
8. S. Ross

Citations in the corpus

• Lifshitz spacetimes from AdS null and cosmological solutions (2010, background): “In fact, AdS in light cone coordinates (with a compact lightcone direction) has the symmetries of the Schrödinger group [6, 7].”
• On Representations and Correlation Functions of Galilean Conformal Algebras (2009, background): “A gravity dual possessing these symmetries was then proposed in [9, 10] (see also [11, 12] for a somewhat different bulk realization).”
• Comments on string theory backgrounds with non-relativistic conformal symmetry (2008, methodology): “direction in the bulk [4, 3 ]. One should remember, though, that this identification is not as innocent as it looks.”
• Holography for Schrödinger backgrounds (2010, background): “As previously noted in [1, 2, 15] the Schrödinger dimension for a scalar operator has the closed”
• Hot spacetimes for cold atoms (2008, background): “(2)The recent papers [16, 17] find a solution of the vacuum einstein equations with a bare cosmological constant – this is just the DLCQ of AdS, with the periodic identification breaking the AdS symmetry group to its Schrödinger subgroup.”
• Non-relativistic holography (2008, background): “Much interest has been focused on holographic duals of theories which admit the full Schrödinger symmetry group [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26].”
• Galilean Conformal Algebras and AdS/CFT (2009, background): “A gravity dual possessing these symmetries was then proposed in [7, 8] (see also [9, 10] for a somewhat different bulk realisation).”
• Heating up Galilean holography (2008, methodology): “As in AdS/CFT, the bulk coordinate r should correspond to scale size in the boundary field theory.”