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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Bibliographic Details
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
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Online Access:https://doi.org/10.1007/JHEP08(2024)196
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Summary: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.
ISSN:1029-8479