Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | |
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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Repositório Institucional da UNESP |
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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:29462024-08-05T18:54:47.111837Repositório 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_ |
1808128997898321920 |