Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions

Autores
Russo, Jorge Guillermo; Silva, Guillermo Ariel; Tierz, Miguel
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study N=2 supersymmetric U(N) Chern–Simons with Nf fundamental and Nf antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, Nf), where g denotes the coupling constant. In particular, we analyze the matrix model description of its partition function, both at finite N using the method of orthogonal polynomials together with Mordell integrals and, at large N with fixed g, using the theory of Toeplitz determinants. We show for the massless case that there is an explicit realization of the Giveon–Kutasov duality. For finite N, with N > Nf, three regimes that exactly correspond to the known three large N phases of the theory are identified and characterized.
Fil: Russo, Jorge Guillermo. Universidad de Barcelona. Institució Catalana de Recerca i Estudis Avançats; España
Fil: Silva, Guillermo Ariel. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Tierz, Miguel. Universidad Complutense de Madrid; España
Materia
Chern-Simons
Supersymmetry
Matrix Models
Partition Function
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:11336/50032
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Supersymmetric U(N) Chern-Simons-Matter Theory and Phase TransitionsRusso, Jorge GuillermoSilva, Guillermo ArielTierz, MiguelChern-SimonsSupersymmetryMatrix ModelsPartition Functionhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study N=2 supersymmetric U(N) Chern–Simons with Nf fundamental and Nf antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, Nf), where g denotes the coupling constant. In particular, we analyze the matrix model description of its partition function, both at finite N using the method of orthogonal polynomials together with Mordell integrals and, at large N with fixed g, using the theory of Toeplitz determinants. We show for the massless case that there is an explicit realization of the Giveon–Kutasov duality. For finite N, with N > Nf, three regimes that exactly correspond to the known three large N phases of the theory are identified and characterized.Fil: Russo, Jorge Guillermo. Universidad de Barcelona. Institució Catalana de Recerca i Estudis Avançats; EspañaFil: Silva, Guillermo Ariel. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Tierz, Miguel. Universidad Complutense de Madrid; EspañaSpringer2015-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/50032Russo, Jorge Guillermo; Silva, Guillermo Ariel; Tierz, Miguel; Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions; Springer; Communications In Mathematical Physics; 338; 3; 9-2015; 1411-14420010-36161432-0916CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s00220-015-2399-4info:eu-repo/semantics/altIdentifier/doi/10.1007/s00220-015-2399-4info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1407.4794info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:44:38Zoai:ri.conicet.gov.ar:11336/50032instacron: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 09:44:38.585CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions
title Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions
spellingShingle Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions
Russo, Jorge Guillermo
Chern-Simons
Supersymmetry
Matrix Models
Partition Function
title_short Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions
title_full Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions
title_fullStr Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions
title_full_unstemmed Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions
title_sort Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions
dc.creator.none.fl_str_mv Russo, Jorge Guillermo
Silva, Guillermo Ariel
Tierz, Miguel
author Russo, Jorge Guillermo
author_facet Russo, Jorge Guillermo
Silva, Guillermo Ariel
Tierz, Miguel
author_role author
author2 Silva, Guillermo Ariel
Tierz, Miguel
author2_role author
author
dc.subject.none.fl_str_mv Chern-Simons
Supersymmetry
Matrix Models
Partition Function
topic Chern-Simons
Supersymmetry
Matrix Models
Partition Function
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 study N=2 supersymmetric U(N) Chern–Simons with Nf fundamental and Nf antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, Nf), where g denotes the coupling constant. In particular, we analyze the matrix model description of its partition function, both at finite N using the method of orthogonal polynomials together with Mordell integrals and, at large N with fixed g, using the theory of Toeplitz determinants. We show for the massless case that there is an explicit realization of the Giveon–Kutasov duality. For finite N, with N > Nf, three regimes that exactly correspond to the known three large N phases of the theory are identified and characterized.
Fil: Russo, Jorge Guillermo. Universidad de Barcelona. Institució Catalana de Recerca i Estudis Avançats; España
Fil: Silva, Guillermo Ariel. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Tierz, Miguel. Universidad Complutense de Madrid; España
description We study N=2 supersymmetric U(N) Chern–Simons with Nf fundamental and Nf antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, Nf), where g denotes the coupling constant. In particular, we analyze the matrix model description of its partition function, both at finite N using the method of orthogonal polynomials together with Mordell integrals and, at large N with fixed g, using the theory of Toeplitz determinants. We show for the massless case that there is an explicit realization of the Giveon–Kutasov duality. For finite N, with N > Nf, three regimes that exactly correspond to the known three large N phases of the theory are identified and characterized.
publishDate 2015
dc.date.none.fl_str_mv 2015-09
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/11336/50032
Russo, Jorge Guillermo; Silva, Guillermo Ariel; Tierz, Miguel; Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions; Springer; Communications In Mathematical Physics; 338; 3; 9-2015; 1411-1442
0010-3616
1432-0916
CONICET Digital
CONICET
url http://hdl.handle.net/11336/50032
identifier_str_mv Russo, Jorge Guillermo; Silva, Guillermo Ariel; Tierz, Miguel; Supersymmetric U(N) Chern-Simons-Matter Theory and Phase Transitions; Springer; Communications In Mathematical Physics; 338; 3; 9-2015; 1411-1442
0010-3616
1432-0916
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s00220-015-2399-4
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00220-015-2399-4
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1407.4794
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 13.13397

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