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 diffeomorph...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/415031 |
| Acesso em linha: | http://hdl.handle.net/10261/415031 https://www.scopus.com/inward/record.uri?eid=2-s2.0-105004742284&doi=10.1007%2FJHEP12%282024%29163&partnerID=40&md5=0539684d753ea9865315d0959d77fd87 |
| Access Level: | acceso abierto |
| Palavra-chave: | M-Theory P-Branes String Duality |
| id |
ES_aa9fbb306f27c0d82565e7bcd6fcae7f |
|---|---|
| oai_identifier_str |
oai:digital.csic.es:10261/415031 |
| network_acronym_str |
ES |
| network_name_str |
España |
| repository_id_str |
|
| spelling |
U-duality in quantum M2-branes and gauged supergravitiesdel Moral, M.P.G.las Heras, C.L.Restuccia, A.M-TheoryP-BranesString DualityIn 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, ℤ<inf>ρ</inf>), 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, ℤ<inf>3</inf>, ℤ<inf>5</inf>, ℤ<inf>9</inf>, or ℤ<inf>2n − 7</inf> 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). © The Author(s) 2024.MPGM is partially supported by the MCI Spanish Grant, PID2021-125700NB-C21 (“Gravity, Supergravity, and Superstrings” (GRASS)). CLH is supported by ANID BECAS/POSTDOCTORADO 74220044. CLH is also supported through the grants CEX2020-001007-S and PID2021-123017NB-I00, funded by MCIN/AEI/10.13039/501100011033 and by ERDF “A Way of Making Europe”. A.R. thanks to SEM 18-02 project from U. Antofagasta.Peer reviewedSpringer NatureInternational School for Advanced StudiesMinisterio de Ciencia e Innovación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202620262024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/415031https://www.scopus.com/inward/record.uri?eid=2-s2.0-105004742284&doi=10.1007%2FJHEP12%282024%29163&partnerID=40&md5=0539684d753ea9865315d0959d77fd87reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1007/JHEP12(2024)163Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/4150312026-05-22T06:33:51Z |
| 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 del Moral, M.P.G. M-Theory P-Branes String Duality |
| 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 |
del Moral, M.P.G. las Heras, C.L. Restuccia, A. |
| author |
del Moral, M.P.G. |
| author_facet |
del Moral, M.P.G. las Heras, C.L. Restuccia, A. |
| author_role |
author |
| author2 |
las Heras, C.L. Restuccia, A. |
| author2_role |
author author |
| dc.contributor.none.fl_str_mv |
Ministerio de Ciencia e Innovación (España) Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72] |
| dc.subject.none.fl_str_mv |
M-Theory P-Branes String Duality |
| topic |
M-Theory P-Branes String Duality |
| 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, ℤ<inf>ρ</inf>), 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, ℤ<inf>3</inf>, ℤ<inf>5</inf>, ℤ<inf>9</inf>, or ℤ<inf>2n − 7</inf> 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). © The Author(s) 2024. |
| publishDate |
2024 |
| dc.date.none.fl_str_mv |
2024 2026 2026 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article http://purl.org/coar/resource_type/c_6501 Publisher's version info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/10261/415031 https://www.scopus.com/inward/record.uri?eid=2-s2.0-105004742284&doi=10.1007%2FJHEP12%282024%29163&partnerID=40&md5=0539684d753ea9865315d0959d77fd87 |
| url |
http://hdl.handle.net/10261/415031 https://www.scopus.com/inward/record.uri?eid=2-s2.0-105004742284&doi=10.1007%2FJHEP12%282024%29163&partnerID=40&md5=0539684d753ea9865315d0959d77fd87 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
https://doi.org/10.1007/JHEP12(2024)163 Sí |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
Springer Nature International School for Advanced Studies |
| publisher.none.fl_str_mv |
Springer Nature International School for Advanced Studies |
| dc.source.none.fl_str_mv |
reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC instname:Consejo Superior de Investigaciones Científicas (CSIC) |
| instname_str |
Consejo Superior de Investigaciones Científicas (CSIC) |
| reponame_str |
DIGITAL.CSIC. Repositorio Institucional del CSIC |
| collection |
DIGITAL.CSIC. Repositorio Institucional del CSIC |
| repository.name.fl_str_mv |
|
| repository.mail.fl_str_mv |
|
| _version_ |
1869416197782503424 |
| score |
15,811543 |