AdS/CFT duality for non-relativistic field theory

Details AdS/CFT duality for non-relativistic field theory AdS/CFT duality for non-relativistic field theory

2008-06-17

arxiv.org/abs/0806.2867v1

JHEP 0903:069,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages LaTeX, no figures

Scientific paper

10.1088/1126-6708/2009/03/069

We formulate a correspondence between non-relativistic conformal field theories (NRCFTs) in d-1 spatial dimensions and gravitational theories in AdS_{d+2} backgrounds with one compactified lightlike direction. The breaking of the maximal SO(2,d+1) symmetry of AdS_{d+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.

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