Large D holography with metric deformations
Large D holography with metric deformations
We consider Einstein gravity in AdS in the presence of a deformed conformal boundary metric, in the limit of large spacetime dimension. At leading order we find a new set of effective near-horizon equations. These can be understood as covariant generalisations of the undeformed equations with new source terms due to the curvature. We show that these equations are given by the conservation of the exact second-order Landau-frame hydrodynamic stress tensor. No derivative expansions are invoked in this identification. We use the new equations to study CFTs with 2d lattice deformations, computing their quasi-normal mode spectra and thermal conductivities, both numerically and analytically to quartic order in small lattice amplitude. Many of our results also apply to asymptotically flat spacetimes.
Holography, Gravity
Andrade, Tomas
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Pantelidou, Christiana
c20e6717-394f-4884-b741-d5ab233c8e27
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
25 September 2018
Andrade, Tomas
a327fef9-54cd-4777-ad05-6fb9036512a0
Pantelidou, Christiana
c20e6717-394f-4884-b741-d5ab233c8e27
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Andrade, Tomas, Pantelidou, Christiana and Withers, Benjamin
(2018)
Large D holography with metric deformations.
Journal of High Energy Physics, 2018 (9), [138].
(doi:10.1007/JHEP09(2018)138).
Abstract
We consider Einstein gravity in AdS in the presence of a deformed conformal boundary metric, in the limit of large spacetime dimension. At leading order we find a new set of effective near-horizon equations. These can be understood as covariant generalisations of the undeformed equations with new source terms due to the curvature. We show that these equations are given by the conservation of the exact second-order Landau-frame hydrodynamic stress tensor. No derivative expansions are invoked in this identification. We use the new equations to study CFTs with 2d lattice deformations, computing their quasi-normal mode spectra and thermal conductivities, both numerically and analytically to quartic order in small lattice amplitude. Many of our results also apply to asymptotically flat spacetimes.
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Andrade2018_Article_LargeDHolographyWithMetricDefo
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Accepted/In Press date: 1 June 2018
Published date: 25 September 2018
Additional Information:
25 pages, 6 figures, 2 tables; v2 references added
Keywords:
Holography, Gravity
Identifiers
Local EPrints ID: 436133
URI: http://eprints.soton.ac.uk/id/eprint/436133
ISSN: 1029-8479
PURE UUID: f68e512d-caf9-4b9d-bafe-6bda2227fa31
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Date deposited: 29 Nov 2019 17:30
Last modified: 17 Mar 2024 02:27
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Contributors
Author:
Tomas Andrade
Author:
Christiana Pantelidou
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