Hexagonalization of correlation functions
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP01(2017)130 http://hdl.handle.net/11449/174166 |
Resumo: | We propose a nonperturbative framework to study general correlation functions of single-trace operators in N = 4 supersymmetric Yang-Mills theory at large N. The basic strategy is to decompose them into fundamental building blocks called the hexagon form factors, which were introduced earlier to study structure constants using integrability. The decomposition is akin to a triangulation of a Riemann surface, and we thus call it hexagonalization. We propose a set of rules to glue the hexagons together based on symmetry, which naturally incorporate the dependence on the conformal and the R-symmetry cross ratios. Our method is conceptually different from the conventional operator product expansion and automatically takes into account multi-trace operators exchanged in OPE channels. To illustrate the idea in simple set-ups, we compute four-point functions of BPS operators of arbitrary lengths and correlation functions of one Konishi operator and three short BPS operators, all at one loop. In all cases, the results are in perfect agreement with the perturbative data. We also suggest that our method can be a useful tool to study conformal integrals, and show it explicitly for the case of ladder integrals. |
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Repositório Institucional da UNESP |
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Hexagonalization of correlation functions1/N ExpansionAdS-CFT CorrespondenceIntegrable Field TheoriesSupersymmetric gauge theoryWe propose a nonperturbative framework to study general correlation functions of single-trace operators in N = 4 supersymmetric Yang-Mills theory at large N. The basic strategy is to decompose them into fundamental building blocks called the hexagon form factors, which were introduced earlier to study structure constants using integrability. The decomposition is akin to a triangulation of a Riemann surface, and we thus call it hexagonalization. We propose a set of rules to glue the hexagons together based on symmetry, which naturally incorporate the dependence on the conformal and the R-symmetry cross ratios. Our method is conceptually different from the conventional operator product expansion and automatically takes into account multi-trace operators exchanged in OPE channels. To illustrate the idea in simple set-ups, we compute four-point functions of BPS operators of arbitrary lengths and correlation functions of one Konishi operator and three short BPS operators, all at one loop. In all cases, the results are in perfect agreement with the perturbative data. We also suggest that our method can be a useful tool to study conformal integrals, and show it explicitly for the case of ladder integrals.Instituto de Física Teórica UNESP — Univ. Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271Perimeter Institute for Theoretical Physics, 31 Caroline St N WaterlooInstituto de Física Teórica UNESP — Univ. Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271Universidade Estadual Paulista (Unesp)Perimeter Institute for Theoretical PhysicsFleury, Thiago [UNESP]Komatsu, Shota2018-12-11T17:09:40Z2018-12-11T17:09:40Z2017-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/JHEP01(2017)130Journal of High Energy Physics, v. 2017, n. 1, 2017.1029-84791126-6708http://hdl.handle.net/11449/17416610.1007/JHEP01(2017)1302-s2.0-850115366212-s2.0-85011536621.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physics1,2271,227info:eu-repo/semantics/openAccess2024-01-04T06:29:12Zoai:repositorio.unesp.br:11449/174166Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:08:30.366960Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Hexagonalization of correlation functions |
title |
Hexagonalization of correlation functions |
spellingShingle |
Hexagonalization of correlation functions Fleury, Thiago [UNESP] 1/N Expansion AdS-CFT Correspondence Integrable Field Theories Supersymmetric gauge theory |
title_short |
Hexagonalization of correlation functions |
title_full |
Hexagonalization of correlation functions |
title_fullStr |
Hexagonalization of correlation functions |
title_full_unstemmed |
Hexagonalization of correlation functions |
title_sort |
Hexagonalization of correlation functions |
author |
Fleury, Thiago [UNESP] |
author_facet |
Fleury, Thiago [UNESP] Komatsu, Shota |
author_role |
author |
author2 |
Komatsu, Shota |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Perimeter Institute for Theoretical Physics |
dc.contributor.author.fl_str_mv |
Fleury, Thiago [UNESP] Komatsu, Shota |
dc.subject.por.fl_str_mv |
1/N Expansion AdS-CFT Correspondence Integrable Field Theories Supersymmetric gauge theory |
topic |
1/N Expansion AdS-CFT Correspondence Integrable Field Theories Supersymmetric gauge theory |
description |
We propose a nonperturbative framework to study general correlation functions of single-trace operators in N = 4 supersymmetric Yang-Mills theory at large N. The basic strategy is to decompose them into fundamental building blocks called the hexagon form factors, which were introduced earlier to study structure constants using integrability. The decomposition is akin to a triangulation of a Riemann surface, and we thus call it hexagonalization. We propose a set of rules to glue the hexagons together based on symmetry, which naturally incorporate the dependence on the conformal and the R-symmetry cross ratios. Our method is conceptually different from the conventional operator product expansion and automatically takes into account multi-trace operators exchanged in OPE channels. To illustrate the idea in simple set-ups, we compute four-point functions of BPS operators of arbitrary lengths and correlation functions of one Konishi operator and three short BPS operators, all at one loop. In all cases, the results are in perfect agreement with the perturbative data. We also suggest that our method can be a useful tool to study conformal integrals, and show it explicitly for the case of ladder integrals. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-01-01 2018-12-11T17:09:40Z 2018-12-11T17:09:40Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/JHEP01(2017)130 Journal of High Energy Physics, v. 2017, n. 1, 2017. 1029-8479 1126-6708 http://hdl.handle.net/11449/174166 10.1007/JHEP01(2017)130 2-s2.0-85011536621 2-s2.0-85011536621.pdf |
url |
http://dx.doi.org/10.1007/JHEP01(2017)130 http://hdl.handle.net/11449/174166 |
identifier_str_mv |
Journal of High Energy Physics, v. 2017, n. 1, 2017. 1029-8479 1126-6708 10.1007/JHEP01(2017)130 2-s2.0-85011536621 2-s2.0-85011536621.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of High Energy Physics 1,227 1,227 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129396243955712 |