Noncommutative fermions and Morita equivalence

Autores
Correa, Diego Hernán; Moreno, Enrique Francisco
Año de publicación
2002
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the Morita equivalence for fermion theories on noncommutative two-tori. For rational values of the θ parameter (in appropriate units) we show the equivalence between an abelian noncommutative fermion theory and a nonabelian theory of twisted fermions on ordinary space. We study the chiral anomaly and compute the determinant of the Dirac operator in the dual theories showing that the Morita equivalence also holds at this level.
Facultad de Ciencias Exactas
Materia
Física
Fermiones
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/84379
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/84379
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Noncommutative fermions and Morita equivalenceCorrea, Diego HernánMoreno, Enrique FranciscoFísicaFermionesWe study the Morita equivalence for fermion theories on noncommutative two-tori. For rational values of the θ parameter (in appropriate units) we show the equivalence between an abelian noncommutative fermion theory and a nonabelian theory of twisted fermions on ordinary space. We study the chiral anomaly and compute the determinant of the Dirac operator in the dual theories showing that the Morita equivalence also holds at this level.Facultad de Ciencias Exactas2002info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf185-194http://sedici.unlp.edu.ar/handle/10915/84379enginfo:eu-repo/semantics/altIdentifier/issn/0370-2693info:eu-repo/semantics/altIdentifier/doi/10.1016/S0370-2693(02)01665-9info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:48:36Zoai:sedici.unlp.edu.ar:10915/84379Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:48:36.385SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Noncommutative fermions and Morita equivalence
title Noncommutative fermions and Morita equivalence
spellingShingle Noncommutative fermions and Morita equivalence
Correa, Diego Hernán
Física
Fermiones
title_short Noncommutative fermions and Morita equivalence
title_full Noncommutative fermions and Morita equivalence
title_fullStr Noncommutative fermions and Morita equivalence
title_full_unstemmed Noncommutative fermions and Morita equivalence
title_sort Noncommutative fermions and Morita equivalence
dc.creator.none.fl_str_mv Correa, Diego Hernán
Moreno, Enrique Francisco
author Correa, Diego Hernán
author_facet Correa, Diego Hernán
Moreno, Enrique Francisco
author_role author
author2 Moreno, Enrique Francisco
author2_role author
dc.subject.none.fl_str_mv Física
Fermiones
topic Física
Fermiones
dc.description.none.fl_txt_mv We study the Morita equivalence for fermion theories on noncommutative two-tori. For rational values of the θ parameter (in appropriate units) we show the equivalence between an abelian noncommutative fermion theory and a nonabelian theory of twisted fermions on ordinary space. We study the chiral anomaly and compute the determinant of the Dirac operator in the dual theories showing that the Morita equivalence also holds at this level.
Facultad de Ciencias Exactas
description We study the Morita equivalence for fermion theories on noncommutative two-tori. For rational values of the θ parameter (in appropriate units) we show the equivalence between an abelian noncommutative fermion theory and a nonabelian theory of twisted fermions on ordinary space. We study the chiral anomaly and compute the determinant of the Dirac operator in the dual theories showing that the Morita equivalence also holds at this level.
publishDate 2002
dc.date.none.fl_str_mv 2002
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/84379
url http://sedici.unlp.edu.ar/handle/10915/84379
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0370-2693
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0370-2693(02)01665-9
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
185-194
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.13397

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