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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/49269
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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 Técnicas2025-09-03T09:51:32Zoai: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:34982025-09-03 09:51:32.762CONICET 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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13.13397 |