The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories

Autores
Bianchi, Marco S.; Griguolo, Luca; Leoni Olivera, Matías; Mauri, Andrea; Penati, Silvia; Seminara, Domenico
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones.
Fil: Bianchi, Marco S.. Queen Mary, University Of London; Reino Unido
Fil: Griguolo, Luca. Università di Parma; Italia
Fil: Leoni Olivera, Matías. Universidad de Buenos Aires. Facultad de Ciencias Exactas. Departamento de Ecología, Genética y Evolución. Buenos Aires; Argentina
Fil: Mauri, Andrea. Universita Degli Studi Di Milano - Bicocca; Italia
Fil: Penati, Silvia. Universita Degli Studi Di Milano - Bicocca; Italia. Istituto Nazionale Di Fisica Nucleare, Frascati; Italia
Fil: Seminara, Domenico. Università degli Studi di Firenze; Italia
Materia
Chern-Simons Theories
Matrix Models
Wilson, ’T Hooft And Polyakov Loops
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/49269
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/49269
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theoriesBianchi, Marco S.Griguolo, LucaLeoni Olivera, MatíasMauri, AndreaPenati, SilviaSeminara, DomenicoChern-Simons TheoriesMatrix ModelsWilson, ’T Hooft And Polyakov Loopshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones.Fil: Bianchi, Marco S.. Queen Mary, University Of London; Reino UnidoFil: Griguolo, Luca. Università di Parma; ItaliaFil: Leoni Olivera, Matías. Universidad de Buenos Aires. Facultad de Ciencias Exactas. Departamento de Ecología, Genética y Evolución. Buenos Aires; ArgentinaFil: Mauri, Andrea. Universita Degli Studi Di Milano - Bicocca; ItaliaFil: Penati, Silvia. Universita Degli Studi Di Milano - Bicocca; Italia. Istituto Nazionale Di Fisica Nucleare, Frascati; ItaliaFil: Seminara, Domenico. Università degli Studi di Firenze; ItaliaSpringer2016-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/49269Bianchi, Marco S.; Griguolo, Luca; Leoni Olivera, Matías; Mauri, Andrea; Penati, Silvia; et al.; The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories; Springer; Journal of High Energy Physics; 2016; 9; 9-2016; 1-361126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP09(2016)009info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:47:52Zoai:ri.conicet.gov.ar:11336/49269instacron: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:34982025-09-29 09:47:52.361CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
spellingShingle The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
Bianchi, Marco S.
Chern-Simons Theories
Matrix Models
Wilson, ’T Hooft And Polyakov Loops
title_short The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title_full The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title_fullStr The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title_full_unstemmed The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
title_sort The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
dc.creator.none.fl_str_mv Bianchi, Marco S.
Griguolo, Luca
Leoni Olivera, Matías
Mauri, Andrea
Penati, Silvia
Seminara, Domenico
author Bianchi, Marco S.
author_facet Bianchi, Marco S.
Griguolo, Luca
Leoni Olivera, Matías
Mauri, Andrea
Penati, Silvia
Seminara, Domenico
author_role author
author2 Griguolo, Luca
Leoni Olivera, Matías
Mauri, Andrea
Penati, Silvia
Seminara, Domenico
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Chern-Simons Theories
Matrix Models
Wilson, ’T Hooft And Polyakov Loops
topic Chern-Simons Theories
Matrix Models
Wilson, ’T Hooft And Polyakov Loops
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones.
Fil: Bianchi, Marco S.. Queen Mary, University Of London; Reino Unido
Fil: Griguolo, Luca. Università di Parma; Italia
Fil: Leoni Olivera, Matías. Universidad de Buenos Aires. Facultad de Ciencias Exactas. Departamento de Ecología, Genética y Evolución. Buenos Aires; Argentina
Fil: Mauri, Andrea. Universita Degli Studi Di Milano - Bicocca; Italia
Fil: Penati, Silvia. Universita Degli Studi Di Milano - Bicocca; Italia. Istituto Nazionale Di Fisica Nucleare, Frascati; Italia
Fil: Seminara, Domenico. Università degli Studi di Firenze; Italia
description In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones.
publishDate 2016
dc.date.none.fl_str_mv 2016-09
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/11336/49269
Bianchi, Marco S.; Griguolo, Luca; Leoni Olivera, Matías; Mauri, Andrea; Penati, Silvia; et al.; The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories; Springer; Journal of High Energy Physics; 2016; 9; 9-2016; 1-36
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/49269
identifier_str_mv Bianchi, Marco S.; Griguolo, Luca; Leoni Olivera, Matías; Mauri, Andrea; Penati, Silvia; et al.; The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories; Springer; Journal of High Energy Physics; 2016; 9; 9-2016; 1-36
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/JHEP09(2016)009
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv 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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score 13.069144

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