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  Lifshitz as a deformation of Anti-de Sitter

Korovin, Y., Skenderis, K., & Taylor, M. (2013). Lifshitz as a deformation of Anti-de Sitter. Journal of high energy physics: JHEP, 2013(08): 026. doi:10.1007/JHEP08(2013)026.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-7014-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-7015-4
Genre: Journal Article

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 Creators:
Korovin, Yegor1, 2, Author              
Skenderis, Kostas, Author
Taylor, Marika, Author
Affiliations:
1KdV Institute for Mathematics, ou_persistent22              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th, Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el
 Abstract: We consider holography for Lifshitz spacetimes with dynamical exponent z=1+epsilon^2, where epsilon 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 epsilon as a small expansion parameter we set up the holographic dictionary for Einstein-Proca models up to order epsilon^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+epsilon^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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 Dates: 2013-04-292013-06-112013
 Publication Status: Published in print
 Pages: 70 pages; v2: references added and minor improvements
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1304.7776
DOI: 10.1007/JHEP08(2013)026
URI: http://arxiv.org/abs/1304.7776
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2013 (08) Sequence Number: 026 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002