Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS2

Abstract We construct infinite-dimensional R-matrices that generalise the relativistic scattering of massless modes with the same chirality on AdS2 near the Berestein-Maldacena-Nastase vacuum. We show that the infrared limit of the R-matrices reproduces finite-dimensional scattering of massless mode...

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Main Authors: Juan Miguel Nieto García, Roberto Ruiz, Alessandro Torrielli
Format: Article
Language:English
Published: SpringerOpen 2023-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2023)229
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author Juan Miguel Nieto García
Roberto Ruiz
Alessandro Torrielli
author_facet Juan Miguel Nieto García
Roberto Ruiz
Alessandro Torrielli
author_sort Juan Miguel Nieto García
collection DOAJ
description Abstract We construct infinite-dimensional R-matrices that generalise the relativistic scattering of massless modes with the same chirality on AdS2 near the Berestein-Maldacena-Nastase vacuum. We show that the infrared limit of the R-matrices reproduces finite-dimensional scattering of massless modes on AdS2, from which the R-matrices borrow modified braiding unitary. We also prove that the R-matrices enjoy an infinite-dimensional symmetry superalgebra that embeds that of AdS2. Finally, we verify that the R-matrices are also invariant under crossing symmetry.
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spelling doaj.art-f9a5ef8e724945f68e68aa8da6b8de5b2023-08-27T11:06:09ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023512410.1007/JHEP05(2023)229Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS2Juan Miguel Nieto García0Roberto Ruiz1Alessandro Torrielli2II. Institut für Theoretische Physik, Universität HamburgInstituto de Física Teórica UAM/CSIC, Universidad Autónoma de MadridDepartment of Mathematics, School of Mathematics and Physics, University of SurreyAbstract We construct infinite-dimensional R-matrices that generalise the relativistic scattering of massless modes with the same chirality on AdS2 near the Berestein-Maldacena-Nastase vacuum. We show that the infrared limit of the R-matrices reproduces finite-dimensional scattering of massless modes on AdS2, from which the R-matrices borrow modified braiding unitary. We also prove that the R-matrices enjoy an infinite-dimensional symmetry superalgebra that embeds that of AdS2. Finally, we verify that the R-matrices are also invariant under crossing symmetry.https://doi.org/10.1007/JHEP05(2023)229AdS-CFT CorrespondenceIntegrable Field Theories
spellingShingle Juan Miguel Nieto García
Roberto Ruiz
Alessandro Torrielli
Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS2
Journal of High Energy Physics
AdS-CFT Correspondence
Integrable Field Theories
title Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS2
title_full Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS2
title_fullStr Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS2
title_full_unstemmed Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS2
title_short Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS2
title_sort infinite dimensional r matrices for the relativistic scattering of massless modes on ads2
topic AdS-CFT Correspondence
Integrable Field Theories
url https://doi.org/10.1007/JHEP05(2023)229
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