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Journal of High Energy Physics

, 2011:56 | Cite as

Holography for Schrödinger backgrounds

  • Monica Guica
  • Kostas Skenderis
  • Marika Taylor
  • Balt C. van Rees
Open Access
Article

Abstract

We discuss holography for Schrödinger 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 Schrödinger 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.

Keywords

Gauge-gravity correspondence AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) 

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Copyright information

© The Author(s) 2011

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  • Monica Guica
    • 1
  • Kostas Skenderis
    • 2
    • 3
  • Marika Taylor
    • 2
  • Balt C. van Rees
    • 2
  1. 1.Laboratoire de Physique Théorique et Hautes Energies (LPTHE), CNRS, UPMCParis Cedex 05France
  2. 2.Institute for Theoretical PhysicsAmsterdamThe Netherlands
  3. 3.Korteweg-de Vries Institute for MathematicsAmsterdamThe Netherlands

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