On AGT description of N = 2 SCFT with N f = 4

Autores
Giribet, Gaston Enrique
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider Alday-Gaiotto-Tachikawa (AGT) realization of the Nekrasov partition function of N = 2 SCFT. We focus our attention on the SU(2) theory with N f = 4 flavor symmetry, whose partition function, according to AGT, is given by the Liouville four-point function on the sphere. The gauge theory with N f = 4 is known to exhibit SO(8) symmetry. We explain how the Weyl symmetry transformations of SO(8) flavor symmetry are realized in the Liouville theory picture. This is associated to functional properties of the Liouville four-point function that are a priori unexpected. In turn, this can be thought of as a non-trivial consistency check of AGT conjecture. We also make some comments on elementary surface operators and WZW theory. © SISSA 2010.
Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Materia
Duality in Gauge Field Theories
Supersymmetric Gauge Theory
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/57158

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spelling On AGT description of N = 2 SCFT with N f = 4Giribet, Gaston EnriqueDuality in Gauge Field TheoriesSupersymmetric Gauge Theoryhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider Alday-Gaiotto-Tachikawa (AGT) realization of the Nekrasov partition function of N = 2 SCFT. We focus our attention on the SU(2) theory with N f = 4 flavor symmetry, whose partition function, according to AGT, is given by the Liouville four-point function on the sphere. The gauge theory with N f = 4 is known to exhibit SO(8) symmetry. We explain how the Weyl symmetry transformations of SO(8) flavor symmetry are realized in the Liouville theory picture. This is associated to functional properties of the Liouville four-point function that are a priori unexpected. In turn, this can be thought of as a non-trivial consistency check of AGT conjecture. We also make some comments on elementary surface operators and WZW theory. © SISSA 2010.Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaSpringer2010-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/57158Giribet, Gaston Enrique; On AGT description of N = 2 SCFT with N f = 4; Springer; Journal of High Energy Physics; 2010; 1; 12-2010; 97-1241126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP01(2010)097info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP01(2010)097info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0912.1930info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:17:40Zoai:ri.conicet.gov.ar:11336/57158instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 15:17:40.453CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On AGT description of N = 2 SCFT with N f = 4
title On AGT description of N = 2 SCFT with N f = 4
spellingShingle On AGT description of N = 2 SCFT with N f = 4
Giribet, Gaston Enrique
Duality in Gauge Field Theories
Supersymmetric Gauge Theory
title_short On AGT description of N = 2 SCFT with N f = 4
title_full On AGT description of N = 2 SCFT with N f = 4
title_fullStr On AGT description of N = 2 SCFT with N f = 4
title_full_unstemmed On AGT description of N = 2 SCFT with N f = 4
title_sort On AGT description of N = 2 SCFT with N f = 4
dc.creator.none.fl_str_mv Giribet, Gaston Enrique
author Giribet, Gaston Enrique
author_facet Giribet, Gaston Enrique
author_role author
dc.subject.none.fl_str_mv Duality in Gauge Field Theories
Supersymmetric Gauge Theory
topic Duality in Gauge Field Theories
Supersymmetric Gauge Theory
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider Alday-Gaiotto-Tachikawa (AGT) realization of the Nekrasov partition function of N = 2 SCFT. We focus our attention on the SU(2) theory with N f = 4 flavor symmetry, whose partition function, according to AGT, is given by the Liouville four-point function on the sphere. The gauge theory with N f = 4 is known to exhibit SO(8) symmetry. We explain how the Weyl symmetry transformations of SO(8) flavor symmetry are realized in the Liouville theory picture. This is associated to functional properties of the Liouville four-point function that are a priori unexpected. In turn, this can be thought of as a non-trivial consistency check of AGT conjecture. We also make some comments on elementary surface operators and WZW theory. © SISSA 2010.
Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
description We consider Alday-Gaiotto-Tachikawa (AGT) realization of the Nekrasov partition function of N = 2 SCFT. We focus our attention on the SU(2) theory with N f = 4 flavor symmetry, whose partition function, according to AGT, is given by the Liouville four-point function on the sphere. The gauge theory with N f = 4 is known to exhibit SO(8) symmetry. We explain how the Weyl symmetry transformations of SO(8) flavor symmetry are realized in the Liouville theory picture. This is associated to functional properties of the Liouville four-point function that are a priori unexpected. In turn, this can be thought of as a non-trivial consistency check of AGT conjecture. We also make some comments on elementary surface operators and WZW theory. © SISSA 2010.
publishDate 2010
dc.date.none.fl_str_mv 2010-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/57158
Giribet, Gaston Enrique; On AGT description of N = 2 SCFT with N f = 4; Springer; Journal of High Energy Physics; 2010; 1; 12-2010; 97-124
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/57158
identifier_str_mv Giribet, Gaston Enrique; On AGT description of N = 2 SCFT with N f = 4; Springer; Journal of High Energy Physics; 2010; 1; 12-2010; 97-124
1126-6708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP01(2010)097
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP01(2010)097
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0912.1930
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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