Conformal multi-Regge theory

Abstract We propose and explore the Regge limit for correlation functions of five local primary operators in conformal field theories. After reviewing some features of Regge theory for flat-space scattering amplitudes, we analyze the analytic structure of conformal blocks both in position and Mellin...

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Main Authors: Miguel S. Costa, Vasco Gonçalves, Aaditya Salgarkar, João Vilas Boas
Format: Article
Language:English
Published: SpringerOpen 2023-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2023)155
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author Miguel S. Costa
Vasco Gonçalves
Aaditya Salgarkar
João Vilas Boas
author_facet Miguel S. Costa
Vasco Gonçalves
Aaditya Salgarkar
João Vilas Boas
author_sort Miguel S. Costa
collection DOAJ
description Abstract We propose and explore the Regge limit for correlation functions of five local primary operators in conformal field theories. After reviewing some features of Regge theory for flat-space scattering amplitudes, we analyze the analytic structure of conformal blocks both in position and Mellin space in the Regge limit and propose an extension of conformal Regge theory for five-point functions. As a byproduct of our analysis we also introduce a new basis of three-point correlation functions for operators with spin and the associated Euclidean conformal blocks.
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spelling doaj.art-52d2699d88364142ab9c87840f27ada92023-12-31T12:07:58ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023914910.1007/JHEP09(2023)155Conformal multi-Regge theoryMiguel S. Costa0Vasco Gonçalves1Aaditya Salgarkar2João Vilas Boas3Centro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoCentro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoCentro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoCentro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoAbstract We propose and explore the Regge limit for correlation functions of five local primary operators in conformal field theories. After reviewing some features of Regge theory for flat-space scattering amplitudes, we analyze the analytic structure of conformal blocks both in position and Mellin space in the Regge limit and propose an extension of conformal Regge theory for five-point functions. As a byproduct of our analysis we also introduce a new basis of three-point correlation functions for operators with spin and the associated Euclidean conformal blocks.https://doi.org/10.1007/JHEP09(2023)155AdS-CFT CorrespondenceScale and Conformal Symmetries
spellingShingle Miguel S. Costa
Vasco Gonçalves
Aaditya Salgarkar
João Vilas Boas
Conformal multi-Regge theory
Journal of High Energy Physics
AdS-CFT Correspondence
Scale and Conformal Symmetries
title Conformal multi-Regge theory
title_full Conformal multi-Regge theory
title_fullStr Conformal multi-Regge theory
title_full_unstemmed Conformal multi-Regge theory
title_short Conformal multi-Regge theory
title_sort conformal multi regge theory
topic AdS-CFT Correspondence
Scale and Conformal Symmetries
url https://doi.org/10.1007/JHEP09(2023)155
work_keys_str_mv AT miguelscosta conformalmultireggetheory
AT vascogoncalves conformalmultireggetheory
AT aadityasalgarkar conformalmultireggetheory
AT joaovilasboas conformalmultireggetheory