Boundary reparametrizations and six-point functions on the AdS2 string

Abstract We compute the tree-level connected six-point function of identical scalar fluctuations of the AdS2 string worldsheet dual to the half-BPS Wilson line in planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills. The calculation can be carried out analytically in the conformal gauge approach, where t...

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Main Authors: Simone Giombi, Shota Komatsu, Bendeguz Offertaler, Jieru Shan
Format: Article
Language:English
Published: SpringerOpen 2024-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2024)196
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author Simone Giombi
Shota Komatsu
Bendeguz Offertaler
Jieru Shan
author_facet Simone Giombi
Shota Komatsu
Bendeguz Offertaler
Jieru Shan
author_sort Simone Giombi
collection DOAJ
description Abstract We compute the tree-level connected six-point function of identical scalar fluctuations of the AdS2 string worldsheet dual to the half-BPS Wilson line in planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills. The calculation can be carried out analytically in the conformal gauge approach, where the boundary reparametrization mode of the string plays a crucial role. We also study the analytic continuation of the six-point function to an out-of-time-order configuration, which is related to a 3-to-3 scattering amplitude in flat space. As a check of our results, we also numerically compute the six-point function using the Nambu-Goto action in static gauge, finding agreement with the conformal gauge answer.
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series Journal of High Energy Physics
spelling doaj-art-1a806c15fae74d588bfdec33cfc5d95b2024-11-24T12:07:41ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024814810.1007/JHEP08(2024)196Boundary reparametrizations and six-point functions on the AdS2 stringSimone Giombi0Shota Komatsu1Bendeguz Offertaler2Jieru Shan3Joseph Henry Laboratories, Princeton UniversityDepartment of Theoretical Physics, CERNJoseph Henry Laboratories, Princeton UniversityJoseph Henry Laboratories, Princeton UniversityAbstract We compute the tree-level connected six-point function of identical scalar fluctuations of the AdS2 string worldsheet dual to the half-BPS Wilson line in planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills. The calculation can be carried out analytically in the conformal gauge approach, where the boundary reparametrization mode of the string plays a crucial role. We also study the analytic continuation of the six-point function to an out-of-time-order configuration, which is related to a 3-to-3 scattering amplitude in flat space. As a check of our results, we also numerically compute the six-point function using the Nambu-Goto action in static gauge, finding agreement with the conformal gauge answer.https://doi.org/10.1007/JHEP08(2024)196AdS-CFT CorrespondenceBosonic StringsWilson’t Hooft and Polyakov loops
spellingShingle Simone Giombi
Shota Komatsu
Bendeguz Offertaler
Jieru Shan
Boundary reparametrizations and six-point functions on the AdS2 string
Journal of High Energy Physics
AdS-CFT Correspondence
Bosonic Strings
Wilson
’t Hooft and Polyakov loops
title Boundary reparametrizations and six-point functions on the AdS2 string
title_full Boundary reparametrizations and six-point functions on the AdS2 string
title_fullStr Boundary reparametrizations and six-point functions on the AdS2 string
title_full_unstemmed Boundary reparametrizations and six-point functions on the AdS2 string
title_short Boundary reparametrizations and six-point functions on the AdS2 string
title_sort boundary reparametrizations and six point functions on the ads2 string
topic AdS-CFT Correspondence
Bosonic Strings
Wilson
’t Hooft and Polyakov loops
url https://doi.org/10.1007/JHEP08(2024)196
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AT shotakomatsu boundaryreparametrizationsandsixpointfunctionsontheads2string
AT bendeguzoffertaler boundaryreparametrizationsandsixpointfunctionsontheads2string
AT jierushan boundaryreparametrizationsandsixpointfunctionsontheads2string