Recursion relations for conformal blocks
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP09(2016)070 http://hdl.handle.net/11449/173478 |
Resumo: | In the context of conformal field theories in general space-time dimension, we find all the possible singularities of the conformal blocks as functions of the scaling dimension Δ of the exchanged operator. In particular, we argue, using representation theory of parabolic Verma modules, that in odd spacetime dimension the singularities are only simple poles. We discuss how to use this information to write recursion relations that determine the conformal blocks. We first recover the recursion relation introduced in [1] for conformal blocks of external scalar operators. We then generalize this recursion relation for the conformal blocks associated to the four point function of three scalar and one vector operator. Finally we specialize to the case in which the vector operator is a conserved current. |
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Repositório Institucional da UNESP |
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Recursion relations for conformal blocksConformal and W SymmetryField Theories in Higher DimensionsIn the context of conformal field theories in general space-time dimension, we find all the possible singularities of the conformal blocks as functions of the scaling dimension Δ of the exchanged operator. In particular, we argue, using representation theory of parabolic Verma modules, that in odd spacetime dimension the singularities are only simple poles. We discuss how to use this information to write recursion relations that determine the conformal blocks. We first recover the recursion relation introduced in [1] for conformal blocks of external scalar operators. We then generalize this recursion relation for the conformal blocks associated to the four point function of three scalar and one vector operator. Finally we specialize to the case in which the vector operator is a conserved current.Centro de Fisica do Porto Departamento de Fisica e Astronomia Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687Theoretical Physics Department CERN, CERNICTP South American Institute for Fundamental Research Instituto de Fisica Teorica UNESP - Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271Kavli IPMU (WPI) University of TokyoInstitute for Advanced Study School of Natural SciencesICTP South American Institute for Fundamental Research Instituto de Fisica Teorica UNESP - Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271Faculdade de Ciências da Universidade do PortoCERNUniversidade Estadual Paulista (Unesp)University of TokyoSchool of Natural SciencesPenedones, JoãoTrevisani, Emilio [UNESP]Yamazaki, Masahito2018-12-11T17:05:48Z2018-12-11T17:05:48Z2016-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/JHEP09(2016)070Journal of High Energy Physics, v. 2016, n. 9, 2016.1029-84791126-6708http://hdl.handle.net/11449/17347810.1007/JHEP09(2016)0702-s2.0-849877849222-s2.0-84987784922.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physics1,2271,227info:eu-repo/semantics/openAccess2023-12-14T06:19:01Zoai:repositorio.unesp.br:11449/173478Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:17:57.000764Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Recursion relations for conformal blocks |
title |
Recursion relations for conformal blocks |
spellingShingle |
Recursion relations for conformal blocks Penedones, João Conformal and W Symmetry Field Theories in Higher Dimensions |
title_short |
Recursion relations for conformal blocks |
title_full |
Recursion relations for conformal blocks |
title_fullStr |
Recursion relations for conformal blocks |
title_full_unstemmed |
Recursion relations for conformal blocks |
title_sort |
Recursion relations for conformal blocks |
author |
Penedones, João |
author_facet |
Penedones, João Trevisani, Emilio [UNESP] Yamazaki, Masahito |
author_role |
author |
author2 |
Trevisani, Emilio [UNESP] Yamazaki, Masahito |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Faculdade de Ciências da Universidade do Porto CERN Universidade Estadual Paulista (Unesp) University of Tokyo School of Natural Sciences |
dc.contributor.author.fl_str_mv |
Penedones, João Trevisani, Emilio [UNESP] Yamazaki, Masahito |
dc.subject.por.fl_str_mv |
Conformal and W Symmetry Field Theories in Higher Dimensions |
topic |
Conformal and W Symmetry Field Theories in Higher Dimensions |
description |
In the context of conformal field theories in general space-time dimension, we find all the possible singularities of the conformal blocks as functions of the scaling dimension Δ of the exchanged operator. In particular, we argue, using representation theory of parabolic Verma modules, that in odd spacetime dimension the singularities are only simple poles. We discuss how to use this information to write recursion relations that determine the conformal blocks. We first recover the recursion relation introduced in [1] for conformal blocks of external scalar operators. We then generalize this recursion relation for the conformal blocks associated to the four point function of three scalar and one vector operator. Finally we specialize to the case in which the vector operator is a conserved current. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-09-01 2018-12-11T17:05:48Z 2018-12-11T17:05:48Z |
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/JHEP09(2016)070 Journal of High Energy Physics, v. 2016, n. 9, 2016. 1029-8479 1126-6708 http://hdl.handle.net/11449/173478 10.1007/JHEP09(2016)070 2-s2.0-84987784922 2-s2.0-84987784922.pdf |
url |
http://dx.doi.org/10.1007/JHEP09(2016)070 http://hdl.handle.net/11449/173478 |
identifier_str_mv |
Journal of High Energy Physics, v. 2016, n. 9, 2016. 1029-8479 1126-6708 10.1007/JHEP09(2016)070 2-s2.0-84987784922 2-s2.0-84987784922.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_ |
1808129185400487936 |