Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry

For SCFTs with an SU(2) R-symmetry, we determine the superconformal blocks that contribute to the four-point correlation function of a priori distinct half-BPS superconformal primaries as an expansion in terms of the relevant bosonic conformal blocks. This is achieved by using the superconformal Cas...

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Detalles Bibliográficos
Autores: Fuchs, Michael, Lawrie, Craig, Baume, Florent
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/717858
Acceso en línea:http://hdl.handle.net/10486/717858
https://dx.doi.org/10.1007/JHEP11(2019)164
Access Level:acceso abierto
Palabra clave:Conformal Field Theory
extended supersymmetry
Física
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spelling Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetryFuchs, MichaelLawrie, CraigBaume, FlorentConformal Field Theoryextended supersymmetryFísicaFor SCFTs with an SU(2) R-symmetry, we determine the superconformal blocks that contribute to the four-point correlation function of a priori distinct half-BPS superconformal primaries as an expansion in terms of the relevant bosonic conformal blocks. This is achieved by using the superconformal Casimir equation and the superconformal Ward identity to fix the coefficients of the bosonic blocks uniquely in a dimension-independent way. In addition we find that many of the resulting coefficients are related through a web of linear transformations of the conformal dataWe thank F. Apruzzi, M. Gillioz, and M. Wiesner for helpful discussions. F.B. is especially grateful to Riccardo Rattazzi and the theory group at EPFL for hospitality and stimulating discussions in the infancy of this project. C.L. would like to thank the 2019 Pollica Summer Workshop, supported in part by the Simons Collaboration on the Non-perturbative Bootstrap and in part by the INFN, for a stimulating environment during important stages of this work. The work of F.B. and M.F. is supported through the grants SEV-2016- 0597, FPA2015-65480-P and PGC2018-095976-B-C21 from MCIU/AEI/FEDER, UE. C.L. is supported by NSF CAREER grant PHY-1756996SpringerDepartamento de Física Teórica20192019-11-28research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/717858https://dx.doi.org/10.1007/JHEP11(2019)164reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7178582026-06-23T12:46:27Z
dc.title.none.fl_str_mv Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
title Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
spellingShingle Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
Fuchs, Michael
Conformal Field Theory
extended supersymmetry
Física
title_short Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
title_full Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
title_fullStr Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
title_full_unstemmed Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
title_sort Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
dc.creator.none.fl_str_mv Fuchs, Michael
Lawrie, Craig
Baume, Florent
author Fuchs, Michael
author_facet Fuchs, Michael
Lawrie, Craig
Baume, Florent
author_role author
author2 Lawrie, Craig
Baume, Florent
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Física Teórica
dc.subject.none.fl_str_mv Conformal Field Theory
extended supersymmetry
Física
topic Conformal Field Theory
extended supersymmetry
Física
description For SCFTs with an SU(2) R-symmetry, we determine the superconformal blocks that contribute to the four-point correlation function of a priori distinct half-BPS superconformal primaries as an expansion in terms of the relevant bosonic conformal blocks. This is achieved by using the superconformal Casimir equation and the superconformal Ward identity to fix the coefficients of the bosonic blocks uniquely in a dimension-independent way. In addition we find that many of the resulting coefficients are related through a web of linear transformations of the conformal data
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-11-28
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/717858
https://dx.doi.org/10.1007/JHEP11(2019)164
url http://hdl.handle.net/10486/717858
https://dx.doi.org/10.1007/JHEP11(2019)164
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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