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Quasinormal modes and holographic correlators in a crunching AdS geometry

Prem Kumar Orcid Logo, Vladislav Vaganov

Journal of High Energy Physics, Volume: 2016, Issue: 2

Swansea University Author: Prem Kumar Orcid Logo

DOI (Published version): 10.1007/JHEP02(2016)065

Abstract

We calculate frequency space holographic correlators in an asymptotically AdS crunching background, dual to a relevant deformation of the M2-brane CFT placed in de Sitter spacetime. For massless bulk scalars, exploiting the connection to a solvable supersymmetric quantum mechanical problem, we obtai...

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Published in: Journal of High Energy Physics
Published: 2016
URI: https://cronfa.swan.ac.uk/Record/cronfa25888
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spelling 2017-05-30T09:50:59.5975664 v2 25888 2016-01-18 Quasinormal modes and holographic correlators in a crunching AdS geometry 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2016-01-18 SPH We calculate frequency space holographic correlators in an asymptotically AdS crunching background, dual to a relevant deformation of the M2-brane CFT placed in de Sitter spacetime. For massless bulk scalars, exploiting the connection to a solvable supersymmetric quantum mechanical problem, we obtain the exact frequency space correlator for the dual operator in the deformed CFT. Controlling the shape of the crunching surface in the Penrose diagram by smoothly dialling the deformation from zero to infinity, we observe that in the large deformation limit the Penrose diagram becomes a `square', and the exact holographic correlators display striking similarities to their counterparts in the BTZ black hole and its higher dimensional generalisations. We numerically determine quasinormal poles for relevant and irrelevant operators, and find an intricate pattern of these in the complex frequency plane. In the case of relevant operators, the deformation parameter has an infinite sequence of critical values, each one characterised by a pair of poles colliding and moving away from the imaginary frequency axis with increasing deformation. In the limit of infinite deformation all scalar operators have identical quasinormal spectra. We compare and contrast our strongly coupled de Sitter QFT results with strongly coupled thermal correlators from AdS black holes. Journal Article Journal of High Energy Physics 2016 2 9 2 2016 2016-02-09 10.1007/JHEP02(2016)065 This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2017-05-30T09:50:59.5975664 2016-01-18T12:12:39.7425247 Prem Kumar 0000-0003-0867-4213 1 Vladislav Vaganov 2 0025888-18012016125806.pdf JHEP02(2016)065.pdf 2016-01-18T12:58:06.4370000 Output 823763 application/pdf Accepted Manuscript true 2016-01-18T00:00:00.0000000 true
title Quasinormal modes and holographic correlators in a crunching AdS geometry
spellingShingle Quasinormal modes and holographic correlators in a crunching AdS geometry
Prem Kumar
title_short Quasinormal modes and holographic correlators in a crunching AdS geometry
title_full Quasinormal modes and holographic correlators in a crunching AdS geometry
title_fullStr Quasinormal modes and holographic correlators in a crunching AdS geometry
title_full_unstemmed Quasinormal modes and holographic correlators in a crunching AdS geometry
title_sort Quasinormal modes and holographic correlators in a crunching AdS geometry
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Prem Kumar
Vladislav Vaganov
format Journal article
container_title Journal of High Energy Physics
container_volume 2016
container_issue 2
publishDate 2016
institution Swansea University
doi_str_mv 10.1007/JHEP02(2016)065
document_store_str 1
active_str 0
description We calculate frequency space holographic correlators in an asymptotically AdS crunching background, dual to a relevant deformation of the M2-brane CFT placed in de Sitter spacetime. For massless bulk scalars, exploiting the connection to a solvable supersymmetric quantum mechanical problem, we obtain the exact frequency space correlator for the dual operator in the deformed CFT. Controlling the shape of the crunching surface in the Penrose diagram by smoothly dialling the deformation from zero to infinity, we observe that in the large deformation limit the Penrose diagram becomes a `square', and the exact holographic correlators display striking similarities to their counterparts in the BTZ black hole and its higher dimensional generalisations. We numerically determine quasinormal poles for relevant and irrelevant operators, and find an intricate pattern of these in the complex frequency plane. In the case of relevant operators, the deformation parameter has an infinite sequence of critical values, each one characterised by a pair of poles colliding and moving away from the imaginary frequency axis with increasing deformation. In the limit of infinite deformation all scalar operators have identical quasinormal spectra. We compare and contrast our strongly coupled de Sitter QFT results with strongly coupled thermal correlators from AdS black holes.
published_date 2016-02-09T03:30:56Z
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score 11.013686

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