Holography for Schrodinger backgrounds

Guica, Monica, Skenderis, Kostas, Taylor, Marika and Rees, Balt van (2011) Holography for Schrodinger backgrounds. Journal of High Energy Physics, 1102, p.056. (doi:10.1007/JHEP02(2011)056). (PMID:ArXiv ePrint: 1008.1991)

Record type: Article

Abstract

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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