U-duality in quantum M2-branes and gauged supergravities

In this paper, we study the relation of the M2-brane with fluxes and monodromy in SL(2,Z), which has a quantum discrete supersymmetric spectrum with finite multiplicity and type IIB gauged supergravities in nine dimensions. SL(2,Z) is the group of isotopy classes of the area-preserving diffeomorphis...

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Autores: García del Moral, M. P. [0000-0002-3329-2391], Heras, C. las, Restuccia, A.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/67ed08cdb65ea13f6b10f0c8
Acceso en línea:https://investigacion.unirioja.es/documentos/67ed08cdb65ea13f6b10f0c8
Access Level:acceso abierto
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spelling U-duality in quantum M2-branes and gauged supergravitiesGarcía del Moral, M. P. [0000-0002-3329-2391]Heras, C. lasRestuccia, A.In this paper, we study the relation of the M2-brane with fluxes and monodromy in SL(2,Z), which has a quantum discrete supersymmetric spectrum with finite multiplicity and type IIB gauged supergravities in nine dimensions. SL(2,Z) is the group of isotopy classes of the area-preserving diffeomorphisms. The global description of these M2-branes we are considering is formulated on twisted torus bundles, and they are classified in terms of H2(Σ,Zρ), or equivalently, by their coinvariants for a given monodromy subgroup. We find the ‘gauge’ symmetries between equivalent M2-branes on torus bundles with monodromy that lead to R, SO(2), or SO(1,1), the symmetry groups of type IIB gauged supergravities in 9d. We obtain an explicit relation between the equivalent classes of M2-brane bundles and the mass parameters that classify the gaugings of type IIB supergravities in 9d. We also find that the symmetries between inequivalent M2-branes on twisted torus bundles for a given monodromy are related to Z, Z3, Z5, Z9, or Z2n−7 for n ≥ 5, the U-duality symmetry group, a subgroup of SL(2,Z). In distinction, in the case without monodromy, related to type II maximal supergravity at low energies, its U-duality group corresponds to the full SL(2,Z).2024info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/67ed08cdb65ea13f6b10f0c8reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP12(2024)163info:eu-repo/semantics/altIdentifier/eissn/1029-8479U-duality in quantum M2-branes and gauged supergravities, 2024, vol. 2024, núm. 12info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/67ed08cdb65ea13f6b10f0c82026-06-14T12:47:17Z
dc.title.none.fl_str_mv U-duality in quantum M2-branes and gauged supergravities
title U-duality in quantum M2-branes and gauged supergravities
spellingShingle U-duality in quantum M2-branes and gauged supergravities
García del Moral, M. P. [0000-0002-3329-2391]
title_short U-duality in quantum M2-branes and gauged supergravities
title_full U-duality in quantum M2-branes and gauged supergravities
title_fullStr U-duality in quantum M2-branes and gauged supergravities
title_full_unstemmed U-duality in quantum M2-branes and gauged supergravities
title_sort U-duality in quantum M2-branes and gauged supergravities
dc.creator.none.fl_str_mv García del Moral, M. P. [0000-0002-3329-2391]
Heras, C. las
Restuccia, A.
author García del Moral, M. P. [0000-0002-3329-2391]
author_facet García del Moral, M. P. [0000-0002-3329-2391]
Heras, C. las
Restuccia, A.
author_role author
author2 Heras, C. las
Restuccia, A.
author2_role author
author
description In this paper, we study the relation of the M2-brane with fluxes and monodromy in SL(2,Z), which has a quantum discrete supersymmetric spectrum with finite multiplicity and type IIB gauged supergravities in nine dimensions. SL(2,Z) is the group of isotopy classes of the area-preserving diffeomorphisms. The global description of these M2-branes we are considering is formulated on twisted torus bundles, and they are classified in terms of H2(Σ,Zρ), or equivalently, by their coinvariants for a given monodromy subgroup. We find the ‘gauge’ symmetries between equivalent M2-branes on torus bundles with monodromy that lead to R, SO(2), or SO(1,1), the symmetry groups of type IIB gauged supergravities in 9d. We obtain an explicit relation between the equivalent classes of M2-brane bundles and the mass parameters that classify the gaugings of type IIB supergravities in 9d. We also find that the symmetries between inequivalent M2-branes on twisted torus bundles for a given monodromy are related to Z, Z3, Z5, Z9, or Z2n−7 for n ≥ 5, the U-duality symmetry group, a subgroup of SL(2,Z). In distinction, in the case without monodromy, related to type II maximal supergravity at low energies, its U-duality group corresponds to the full SL(2,Z).
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/67ed08cdb65ea13f6b10f0c8
url https://investigacion.unirioja.es/documentos/67ed08cdb65ea13f6b10f0c8
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP12(2024)163
info:eu-repo/semantics/altIdentifier/eissn/1029-8479
U-duality in quantum M2-branes and gauged supergravities, 2024, vol. 2024, núm. 12
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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instname_str Universidad de La Rioja (UR)
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collection RIUR. Repositorio Institucional de la Universidad de La Rioja
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