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
August 2013
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), .
(doi:10.1007/JHEP08(2013)026).
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.
Text
1304.7776.pdf
- Accepted Manuscript
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
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Local EPrints ID: 385153
URI: http://eprints.soton.ac.uk/id/eprint/385153
PURE UUID: d3d5d7dc-5462-40e7-a1f7-c17075f97654
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Date deposited: 15 Jan 2016 16:53
Last modified: 15 Mar 2024 03:42
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Author:
Yegor Korovin
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