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Holography for Schrodinger backgrounds

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arxiv 1008.1991 v2 pith:EBEQHLNZ submitted 2010-08-11 hep-th

Holography for Schrodinger backgrounds

Monica Guica , Kostas Skenderis , Marika Taylor , Balt van Rees This is my paper
classification hep-th
keywords conformaloperatorstheoryfieldschrodingerdimensionsgroupholographic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss holography for Schrodinger solutions of both topologically massive gravity in three dimensions and massive vector theories in (d+1) dimensions. In both cases the dual field theory can be viewed as a d-dimensional conformal field theory (two dimensional in the case of TMG) deformed by certain operators that respect the Schrodinger symmetry. These operators are irrelevant from the viewpoint of the relativistic conformal group but they are exactly marginal with respect to the non-relativistic conformal group. The spectrum of linear fluctuations around the background solutions corresponds to operators that are labeled by their scaling dimension and the lightcone momentum k_v. We set up the holographic dictionary and compute 2-point functions of these operators both holographically and in field theory using conformal perturbation theory and find agreement. The counterterms needed for holographic renormalization are non-local in the v lightcone direction.

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