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Holography for Schrodinger backgrounds

Holography for Schrodinger backgrounds
Holography for Schrodinger backgrounds
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.
p.056
Guica, Monica
5f33102f-2ae7-4d37-9f0e-03ce08d7d131
Skenderis, Kostas
1520ae98-afd2-4cee-93f5-97edb44ff1d6
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Rees, Balt van
11b6ca99-1fd7-49c4-b15b-f3783bf92207
Guica, Monica
5f33102f-2ae7-4d37-9f0e-03ce08d7d131
Skenderis, Kostas
1520ae98-afd2-4cee-93f5-97edb44ff1d6
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Rees, Balt van
11b6ca99-1fd7-49c4-b15b-f3783bf92207

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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More information

Published date: February 2011
Additional Information: Imported from arXiv
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 349124
URI: http://eprints.soton.ac.uk/id/eprint/349124
PURE UUID: 26d7bd59-e750-480d-af59-7be3f6b74c35
ORCID for Marika Taylor: ORCID iD orcid.org/0000-0001-9956-601X

Catalogue record

Date deposited: 25 Feb 2013 16:05
Last modified: 09 Nov 2021 03:26

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Contributors

Author: Monica Guica
Author: Kostas Skenderis
Author: Marika Taylor ORCID iD
Author: Balt van Rees

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