Bifundamental fuzzy 2-Sphere and fuzzy killing spinors

Detalhes bibliográficos
Autor(a) principal: Nastase, Horatiu [UNESP]
Data de Publicação: 2010
Outros Autores: Papageorgakis, Constantinos
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.3842/SIGMA.2010.058
http://hdl.handle.net/11449/72099
Resumo: We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to the usual (adjoint) fuzzy sphere. We discuss the mathematical details of the bifundamental fuzzy sphere and its field theory expansion in a model-independent way. We also examine how this new formulation affects the twisting of the fields, when comparing the field theory on the fuzzy sphere background with the compactification of the 'deconstructed' (higher dimensional) field theory.
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spelling Bifundamental fuzzy 2-Sphere and fuzzy killing spinorsField theoryFuzzy sphereNoncommutative geometryWe review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to the usual (adjoint) fuzzy sphere. We discuss the mathematical details of the bifundamental fuzzy sphere and its field theory expansion in a model-independent way. We also examine how this new formulation affects the twisting of the fields, when comparing the field theory on the fuzzy sphere background with the compactification of the 'deconstructed' (higher dimensional) field theory.Instituto de Física Téorica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II, Sao Paulo 01140-070, SPDepartment of Mathematics King's College London, The Strand, London, WC2R 2LSInstituto de Física Téorica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II, Sao Paulo 01140-070, SPUniversidade Estadual Paulista (Unesp)King's College LondonNastase, Horatiu [UNESP]Papageorgakis, Constantinos2014-05-27T11:25:22Z2014-05-27T11:25:22Z2010-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.3842/SIGMA.2010.058Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 6.1815-0659http://hdl.handle.net/11449/7209910.3842/SIGMA.2010.0582-s2.0-830551618312-s2.0-83055161831.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)1.1000,712info:eu-repo/semantics/openAccess2023-11-28T06:11:26Zoai:repositorio.unesp.br:11449/72099Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-28T06:11:26Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
title Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
spellingShingle Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
Nastase, Horatiu [UNESP]
Field theory
Fuzzy sphere
Noncommutative geometry
title_short Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
title_full Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
title_fullStr Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
title_full_unstemmed Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
title_sort Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
author Nastase, Horatiu [UNESP]
author_facet Nastase, Horatiu [UNESP]
Papageorgakis, Constantinos
author_role author
author2 Papageorgakis, Constantinos
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
King's College London
dc.contributor.author.fl_str_mv Nastase, Horatiu [UNESP]
Papageorgakis, Constantinos
dc.subject.por.fl_str_mv Field theory
Fuzzy sphere
Noncommutative geometry
topic Field theory
Fuzzy sphere
Noncommutative geometry
description We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to the usual (adjoint) fuzzy sphere. We discuss the mathematical details of the bifundamental fuzzy sphere and its field theory expansion in a model-independent way. We also examine how this new formulation affects the twisting of the fields, when comparing the field theory on the fuzzy sphere background with the compactification of the 'deconstructed' (higher dimensional) field theory.
publishDate 2010
dc.date.none.fl_str_mv 2010-12-01
2014-05-27T11:25:22Z
2014-05-27T11:25:22Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.3842/SIGMA.2010.058
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 6.
1815-0659
http://hdl.handle.net/11449/72099
10.3842/SIGMA.2010.058
2-s2.0-83055161831
2-s2.0-83055161831.pdf
url http://dx.doi.org/10.3842/SIGMA.2010.058
http://hdl.handle.net/11449/72099
identifier_str_mv Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 6.
1815-0659
10.3842/SIGMA.2010.058
2-s2.0-83055161831
2-s2.0-83055161831.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
1.100
0,712
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803649837028081664

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