The gauge structure of Exceptional Field Theories and the tensor hierarchy

Autores
Aldazabal, Gerardo Marcelo; Graña, M.; Marques, Diego; Rosabal Rodriguez, Jose Alejandro
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying structure, compatible with E11 and Borcherds algebras constructions. We begin with four-dimensional gauged maximal supergravity, and build a generalized Lie derivative that encodes all the gauge transformations of the theory. A generalized frame is introduced, which accommodates for all the degrees of freedom, including the tensor hierarchy. The generalized Lie derivative defines generalized field-dependent fluxes containing all the covariant quantities in the theory, and the closure conditions give rise to their corresponding Bianchi Identities. We then move towards the construction of a full generalized Lie derivative defined on an extended space, analyze the closure conditions, and explore the connection with that of maximal gauged supergravity via a generalized Scherk-Schwarz reduction, and with 11-dimensional supergravity.
Fil: Aldazabal, Gerardo Marcelo. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Graña, M.. Institut de Physique Théorique; Francia
Fil: Marques, Diego. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Rosabal Rodriguez, Jose Alejandro. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina
Materia
FLUX COMPACTIFICATIONS
M-THEORY
STRING-DUALITY
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:11336/17332
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The gauge structure of Exceptional Field Theories and the tensor hierarchyAldazabal, Gerardo MarceloGraña, M.Marques, DiegoRosabal Rodriguez, Jose AlejandroFLUX COMPACTIFICATIONSM-THEORYSTRING-DUALITYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying structure, compatible with E11 and Borcherds algebras constructions. We begin with four-dimensional gauged maximal supergravity, and build a generalized Lie derivative that encodes all the gauge transformations of the theory. A generalized frame is introduced, which accommodates for all the degrees of freedom, including the tensor hierarchy. The generalized Lie derivative defines generalized field-dependent fluxes containing all the covariant quantities in the theory, and the closure conditions give rise to their corresponding Bianchi Identities. We then move towards the construction of a full generalized Lie derivative defined on an extended space, analyze the closure conditions, and explore the connection with that of maximal gauged supergravity via a generalized Scherk-Schwarz reduction, and with 11-dimensional supergravity.Fil: Aldazabal, Gerardo Marcelo. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); ArgentinaFil: Graña, M.. Institut de Physique Théorique; FranciaFil: Marques, Diego. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaFil: Rosabal Rodriguez, Jose Alejandro. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; ArgentinaSpringer2014-04-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/17332Aldazabal, Gerardo Marcelo; Graña, M.; Marques, Diego; Rosabal Rodriguez, Jose Alejandro; The gauge structure of Exceptional Field Theories and the tensor hierarchy; Springer; Journal Of High Energy Physics; 49; 4; 7-4-2014; 1-381126-6708enginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2FJHEP04%282014%29049info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP04(2014)049info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1312.4549info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:18:15Zoai:ri.conicet.gov.ar:11336/17332instacron: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:34982025-10-22 12:18:16.148CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The gauge structure of Exceptional Field Theories and the tensor hierarchy
title The gauge structure of Exceptional Field Theories and the tensor hierarchy
spellingShingle The gauge structure of Exceptional Field Theories and the tensor hierarchy
Aldazabal, Gerardo Marcelo
FLUX COMPACTIFICATIONS
M-THEORY
STRING-DUALITY
title_short The gauge structure of Exceptional Field Theories and the tensor hierarchy
title_full The gauge structure of Exceptional Field Theories and the tensor hierarchy
title_fullStr The gauge structure of Exceptional Field Theories and the tensor hierarchy
title_full_unstemmed The gauge structure of Exceptional Field Theories and the tensor hierarchy
title_sort The gauge structure of Exceptional Field Theories and the tensor hierarchy
dc.creator.none.fl_str_mv Aldazabal, Gerardo Marcelo
Graña, M.
Marques, Diego
Rosabal Rodriguez, Jose Alejandro
author Aldazabal, Gerardo Marcelo
author_facet Aldazabal, Gerardo Marcelo
Graña, M.
Marques, Diego
Rosabal Rodriguez, Jose Alejandro
author_role author
author2 Graña, M.
Marques, Diego
Rosabal Rodriguez, Jose Alejandro
author2_role author
author
author
dc.subject.none.fl_str_mv FLUX COMPACTIFICATIONS
M-THEORY
STRING-DUALITY
topic FLUX COMPACTIFICATIONS
M-THEORY
STRING-DUALITY
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 address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying structure, compatible with E11 and Borcherds algebras constructions. We begin with four-dimensional gauged maximal supergravity, and build a generalized Lie derivative that encodes all the gauge transformations of the theory. A generalized frame is introduced, which accommodates for all the degrees of freedom, including the tensor hierarchy. The generalized Lie derivative defines generalized field-dependent fluxes containing all the covariant quantities in the theory, and the closure conditions give rise to their corresponding Bianchi Identities. We then move towards the construction of a full generalized Lie derivative defined on an extended space, analyze the closure conditions, and explore the connection with that of maximal gauged supergravity via a generalized Scherk-Schwarz reduction, and with 11-dimensional supergravity.
Fil: Aldazabal, Gerardo Marcelo. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Graña, M.. Institut de Physique Théorique; Francia
Fil: Marques, Diego. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Rosabal Rodriguez, Jose Alejandro. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Energía Nuclear. Instituto Balseiro; Argentina
description We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying structure, compatible with E11 and Borcherds algebras constructions. We begin with four-dimensional gauged maximal supergravity, and build a generalized Lie derivative that encodes all the gauge transformations of the theory. A generalized frame is introduced, which accommodates for all the degrees of freedom, including the tensor hierarchy. The generalized Lie derivative defines generalized field-dependent fluxes containing all the covariant quantities in the theory, and the closure conditions give rise to their corresponding Bianchi Identities. We then move towards the construction of a full generalized Lie derivative defined on an extended space, analyze the closure conditions, and explore the connection with that of maximal gauged supergravity via a generalized Scherk-Schwarz reduction, and with 11-dimensional supergravity.
publishDate 2014
dc.date.none.fl_str_mv 2014-04-07
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/11336/17332
Aldazabal, Gerardo Marcelo; Graña, M.; Marques, Diego; Rosabal Rodriguez, Jose Alejandro; The gauge structure of Exceptional Field Theories and the tensor hierarchy; Springer; Journal Of High Energy Physics; 49; 4; 7-4-2014; 1-38
1126-6708
url http://hdl.handle.net/11336/17332
identifier_str_mv Aldazabal, Gerardo Marcelo; Graña, M.; Marques, Diego; Rosabal Rodriguez, Jose Alejandro; The gauge structure of Exceptional Field Theories and the tensor hierarchy; Springer; Journal Of High Energy Physics; 49; 4; 7-4-2014; 1-38
1126-6708
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%2FJHEP04%282014%29049
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP04(2014)049
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1312.4549
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
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 12.982451

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