Lifshitz holographic renormalization from anti-de Sitter

Wissam Chemissany; David Geissbuehler; Jelle Hartong; Blaise Rollier

doi:10.1139/cjp-2012-0350

Lifshitz holographic renormalization from anti-de Sitter

Wissam Chemissany, David Geissbuehler, Jelle Hartong, Blaise Rollier

Theoretical high energy, astroparticle and gravitational physics

Abstract

Lifshitz space-times with critical exponent z = 2 can be obtained by dimensional reduction of Schrödinger space-times with critical exponent z = 0. The latter space-times are asymptotically anti-de Sitter (AdS) solutions of AdS gravity coupled to an axion-dilaton system (or even just a massless scalar field). This basic observation is used to perform holographic renormalization for four-dimensional asymptotically locally Lifshitz space-times by dimensional reduction of the corresponding problem of holographic renormalization for five-dimensional asymptotically AdS space-times coupled to an axion-dilaton system. In this setup the four-dimensional structure of the Lifshitz-Fefferman- Graham expansion and the structure of the counterterm action, including the scale anomaly, will be summarized.

Original language	English
Journal	Canadian Journal of Physics
Volume	91
Issue number	6
Pages (from-to)	457-459
ISSN	0008-4204
DOIs	https://doi.org/10.1139/cjp-2012-0350
Publication status	Published - 1 Jun 2013

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title = "Lifshitz holographic renormalization from anti-de Sitter",

abstract = "Lifshitz space-times with critical exponent z = 2 can be obtained by dimensional reduction of Schr{\"o}dinger space-times with critical exponent z = 0. The latter space-times are asymptotically anti-de Sitter (AdS) solutions of AdS gravity coupled to an axion-dilaton system (or even just a massless scalar field). This basic observation is used to perform holographic renormalization for four-dimensional asymptotically locally Lifshitz space-times by dimensional reduction of the corresponding problem of holographic renormalization for five-dimensional asymptotically AdS space-times coupled to an axion-dilaton system. In this setup the four-dimensional structure of the Lifshitz-Fefferman- Graham expansion and the structure of the counterterm action, including the scale anomaly, will be summarized.",

author = "Wissam Chemissany and David Geissbuehler and Jelle Hartong and Blaise Rollier",

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doi = "10.1139/cjp-2012-0350",

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T1 - Lifshitz holographic renormalization from anti-de Sitter

AU - Chemissany, Wissam

AU - Geissbuehler, David

AU - Hartong, Jelle

AU - Rollier, Blaise

PY - 2013/6/1

Y1 - 2013/6/1

N2 - Lifshitz space-times with critical exponent z = 2 can be obtained by dimensional reduction of Schrödinger space-times with critical exponent z = 0. The latter space-times are asymptotically anti-de Sitter (AdS) solutions of AdS gravity coupled to an axion-dilaton system (or even just a massless scalar field). This basic observation is used to perform holographic renormalization for four-dimensional asymptotically locally Lifshitz space-times by dimensional reduction of the corresponding problem of holographic renormalization for five-dimensional asymptotically AdS space-times coupled to an axion-dilaton system. In this setup the four-dimensional structure of the Lifshitz-Fefferman- Graham expansion and the structure of the counterterm action, including the scale anomaly, will be summarized.

AB - Lifshitz space-times with critical exponent z = 2 can be obtained by dimensional reduction of Schrödinger space-times with critical exponent z = 0. The latter space-times are asymptotically anti-de Sitter (AdS) solutions of AdS gravity coupled to an axion-dilaton system (or even just a massless scalar field). This basic observation is used to perform holographic renormalization for four-dimensional asymptotically locally Lifshitz space-times by dimensional reduction of the corresponding problem of holographic renormalization for five-dimensional asymptotically AdS space-times coupled to an axion-dilaton system. In this setup the four-dimensional structure of the Lifshitz-Fefferman- Graham expansion and the structure of the counterterm action, including the scale anomaly, will be summarized.

U2 - 10.1139/cjp-2012-0350

DO - 10.1139/cjp-2012-0350

M3 - Journal article

SN - 0008-4204

VL - 91

SP - 457

EP - 459

JO - Canadian Journal of Physics

JF - Canadian Journal of Physics

IS - 6

ER -

Lifshitz holographic renormalization from anti-de Sitter

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