Octagons I: combinatorics and non-planar resummations
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP08(2019)162 http://hdl.handle.net/11449/189592 |
Resumo: | We explain how the ’t Hooft expansion of correlators of half-BPS operators can be resummed in a large-charge limit in N = 4 super Yang-Mills theory. The full correlator in the limit is given by a non-trivial function of two variables: One variable is the charge of the BPS operators divided by the square root of the number Nc of colors; the other variable is the octagon that contains all the ’t Hooft coupling and spacetime dependence. At each genus g in the large Nc expansion, this function is a polynomial of degree 2g + 2 in the octagon. We find several dual matrix model representations of the correlators in the large-charge limit. Amusingly, the number of colors in these matrix models is formally taken to zero in the relevant limit. |
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Octagons I: combinatorics and non-planar resummations1/N ExpansionAdS-CFT CorrespondenceIntegrable Field TheoriesSupersymmetric Gauge TheoryWe explain how the ’t Hooft expansion of correlators of half-BPS operators can be resummed in a large-charge limit in N = 4 super Yang-Mills theory. The full correlator in the limit is given by a non-trivial function of two variables: One variable is the charge of the BPS operators divided by the square root of the number Nc of colors; the other variable is the octagon that contains all the ’t Hooft coupling and spacetime dependence. At each genus g in the large Nc expansion, this function is a polynomial of degree 2g + 2 in the octagon. We find several dual matrix model representations of the correlators in the large-charge limit. Amusingly, the number of colors in these matrix models is formally taken to zero in the relevant limit.Institut für Theoretische Physik Leibniz Universität Hannover, Appelstraße 2DESY Theory Group DESY Hamburg, Notkestraße 85Perimeter Institute for Theoretical Physics, 31 Caroline St NInstituto de Física Teórica UNESP — Univ. Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271Instituto de Física Teórica UNESP — Univ. Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271Leibniz Universität HannoverDESY HamburgPerimeter Institute for Theoretical PhysicsUniversidade Estadual Paulista (Unesp)Bargheer, TillCoronado, Frank [UNESP]Vieira, Pedro [UNESP]2019-10-06T16:45:36Z2019-10-06T16:45:36Z2019-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP08(2019)162Journal of High Energy Physics, v. 2019, n. 8, 2019.1029-84791126-6708http://hdl.handle.net/11449/18959210.1007/JHEP08(2019)1622-s2.0-85071653967Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2021-10-23T20:18:47Zoai:repositorio.unesp.br:11449/189592Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:08:50.849250Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Octagons I: combinatorics and non-planar resummations |
title |
Octagons I: combinatorics and non-planar resummations |
spellingShingle |
Octagons I: combinatorics and non-planar resummations Bargheer, Till 1/N Expansion AdS-CFT Correspondence Integrable Field Theories Supersymmetric Gauge Theory |
title_short |
Octagons I: combinatorics and non-planar resummations |
title_full |
Octagons I: combinatorics and non-planar resummations |
title_fullStr |
Octagons I: combinatorics and non-planar resummations |
title_full_unstemmed |
Octagons I: combinatorics and non-planar resummations |
title_sort |
Octagons I: combinatorics and non-planar resummations |
author |
Bargheer, Till |
author_facet |
Bargheer, Till Coronado, Frank [UNESP] Vieira, Pedro [UNESP] |
author_role |
author |
author2 |
Coronado, Frank [UNESP] Vieira, Pedro [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Leibniz Universität Hannover DESY Hamburg Perimeter Institute for Theoretical Physics Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Bargheer, Till Coronado, Frank [UNESP] Vieira, Pedro [UNESP] |
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 explain how the ’t Hooft expansion of correlators of half-BPS operators can be resummed in a large-charge limit in N = 4 super Yang-Mills theory. The full correlator in the limit is given by a non-trivial function of two variables: One variable is the charge of the BPS operators divided by the square root of the number Nc of colors; the other variable is the octagon that contains all the ’t Hooft coupling and spacetime dependence. At each genus g in the large Nc expansion, this function is a polynomial of degree 2g + 2 in the octagon. We find several dual matrix model representations of the correlators in the large-charge limit. Amusingly, the number of colors in these matrix models is formally taken to zero in the relevant limit. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-06T16:45:36Z 2019-10-06T16:45:36Z 2019-08-01 |
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/JHEP08(2019)162 Journal of High Energy Physics, v. 2019, n. 8, 2019. 1029-8479 1126-6708 http://hdl.handle.net/11449/189592 10.1007/JHEP08(2019)162 2-s2.0-85071653967 |
url |
http://dx.doi.org/10.1007/JHEP08(2019)162 http://hdl.handle.net/11449/189592 |
identifier_str_mv |
Journal of High Energy Physics, v. 2019, n. 8, 2019. 1029-8479 1126-6708 10.1007/JHEP08(2019)162 2-s2.0-85071653967 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of High Energy Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1808128761664634880 |