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Lifshitz as a deformation of anti-de Sitter

Lifshitz as a deformation of anti-de Sitter
Lifshitz as a deformation of anti-de Sitter
We consider holography for Lifshitz spacetimes with dynamical exponent z = 1+?2, where ? is small. We show that the holographically dual field theory is a specific deformation of the relativistic CFT, corresponding to the z = 1 theory. Treating ? as a small expansion parameter we set up the holographic dictionary for Einstein-Proca models up to order ?2 in three and four bulk dimensions. We explain how renormalization turns the relativistic conformal invariance into non-relativistic Lifshitz invariance with dynamical exponent z = 1 + ?2. We compute the two-point function of the conserved spin two current for the dual two-dimensional field theory and verify that it is Lifshitz invariant. Using only QFT arguments, we show that a particular class of deformations of CFTs generically leads to Lifshitz scaling invariance and we construct examples of such deformations.
gauge-gravity correspondence, ads-cft correspondence, black holes in string theory, holography and condensed matter physics (ads/cmt)
1-54
Korovin, Yegor
be3d38d1-dc38-4872-a187-3052e88e48f4
Skenderis, Konstantinos
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Korovin, Yegor
be3d38d1-dc38-4872-a187-3052e88e48f4
Skenderis, Konstantinos
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22

Korovin, Yegor, Skenderis, Konstantinos and Taylor, Marika (2013) Lifshitz as a deformation of anti-de Sitter. Journal of High Energy Physics, 2013 (26), 1-54. (doi:10.1007/JHEP08(2013)026).

Record type: Article

Abstract

We consider holography for Lifshitz spacetimes with dynamical exponent z = 1+?2, where ? is small. We show that the holographically dual field theory is a specific deformation of the relativistic CFT, corresponding to the z = 1 theory. Treating ? as a small expansion parameter we set up the holographic dictionary for Einstein-Proca models up to order ?2 in three and four bulk dimensions. We explain how renormalization turns the relativistic conformal invariance into non-relativistic Lifshitz invariance with dynamical exponent z = 1 + ?2. We compute the two-point function of the conserved spin two current for the dual two-dimensional field theory and verify that it is Lifshitz invariant. Using only QFT arguments, we show that a particular class of deformations of CFTs generically leads to Lifshitz scaling invariance and we construct examples of such deformations.

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More information

Accepted/In Press date: 11 July 2013
e-pub ahead of print date: 6 August 2013
Published date: August 2013
Keywords: gauge-gravity correspondence, ads-cft correspondence, black holes in string theory, holography and condensed matter physics (ads/cmt)
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 385153
URI: http://eprints.soton.ac.uk/id/eprint/385153
PURE UUID: d3d5d7dc-5462-40e7-a1f7-c17075f97654
ORCID for Konstantinos Skenderis: ORCID iD orcid.org/0000-0003-4509-5472
ORCID for Marika Taylor: ORCID iD orcid.org/0000-0001-9956-601X

Catalogue record

Date deposited: 15 Jan 2016 16:53
Last modified: 21 Nov 2021 03:06

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Contributors

Author: Yegor Korovin
Author: Marika Taylor ORCID iD

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