Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-08-11
JHEP 1102:056,2011
Physics
High Energy Physics
High Energy Physics - Theory
73 pages; v2: references added and minor improvements
Scientific paper
10.1007/JHEP02(2011)056
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.
Guica Monica
Rees Balt van
Skenderis Kostas
Taylor Marika
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