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arXiv · 0806.2867

AdS/CFT duality for non-relativistic field theory

Walter D. Goldberger
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Abstract

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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Walter D. Goldberger. 2008-06-17. AdS/CFT duality for non-relativistic field theory. https://doi.org/10.1088/1126-6708%2F2009%2F03%2F069

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