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Lifshitz from AdS at finite temperature and top down models

Lifshitz from AdS at finite temperature and top down models
Lifshitz from AdS at finite temperature and top down models
We construct analytically an asymptotically Lifshitz black brane with dynamical exponent z = 1 + ? 2 in an Einstein-Proca model, where ? is a small parameter. In previous work we showed that the holographic dual QFT is a deformation of a CFT by the time component of a vector operator and the parameter ? is the corresponding deformation parameter. In the black brane background this operator additionally acquires a vacuum expectation value. We explain how the QFT Ward identity associated with Lifshitz invariance leads to a conserved mass and compute analytically the thermodynamic quantities showing that they indeed take the form implied by Lifshitz invariance. In the second part of the paper we consider top down Lifshitz models with dynamical exponent close to one and show that they can be understood in terms of vector deformations of conformal field theories. However, in all known cases, both the conformal field theory and its Lifshitz deformations have modes that violate the Breitenlohner-Freedman bound.
gauge-gravity correspondence, holography and condensed matter physics (AdS/CMT, black holes in string theory
1-26
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 from AdS at finite temperature and top down models. Journal of High Energy Physics, 2013 (127), 1-26. (doi:10.1007/JHEP11(2013)127).

Record type: Article

Abstract

We construct analytically an asymptotically Lifshitz black brane with dynamical exponent z = 1 + ? 2 in an Einstein-Proca model, where ? is a small parameter. In previous work we showed that the holographic dual QFT is a deformation of a CFT by the time component of a vector operator and the parameter ? is the corresponding deformation parameter. In the black brane background this operator additionally acquires a vacuum expectation value. We explain how the QFT Ward identity associated with Lifshitz invariance leads to a conserved mass and compute analytically the thermodynamic quantities showing that they indeed take the form implied by Lifshitz invariance. In the second part of the paper we consider top down Lifshitz models with dynamical exponent close to one and show that they can be understood in terms of vector deformations of conformal field theories. However, in all known cases, both the conformal field theory and its Lifshitz deformations have modes that violate the Breitenlohner-Freedman bound.

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Published date: 15 October 2013
Keywords: gauge-gravity correspondence, holography and condensed matter physics (AdS/CMT, black holes in string theory
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 385154
URI: http://eprints.soton.ac.uk/id/eprint/385154
PURE UUID: 10ecbd85-f707-44d3-8c21-15c4926fe042
ORCID for Konstantinos Skenderis: ORCID iD orcid.org/0000-0003-4509-5472
ORCID for Marika Taylor: ORCID iD orcid.org/0000-0001-9956-601X

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Date deposited: 18 Jan 2016 09:17
Last modified: 21 Nov 2021 03:06

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Contributors

Author: Yegor Korovin
Author: Marika Taylor ORCID iD

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