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dc.contributor.authorHartong, Jelle-
dc.contributor.authorHübscher, Mechthild-
dc.contributor.authorOrtín Miguel, Tomás-
dc.identifier.citationJournal of High Energy Physics 06(090): (2009)-
dc.description38 pages.-
dc.description.abstractIn this paper we construct the supersymmetric tensor hierarchy of N = 1, d = 4 supergravity. We find some differences with the general bosonic construction of 4-dimensional gauged supergravities. The global symmetry group of N = 1, d = 4 supergravity consists of three factors: the scalar manifold isometry group, the invariance group of the complex vector kinetic matrix and the U(1) R-symmetry group. In contrast to (half)-maximal supergravities, the latter two symmetries are not embedded into the isometry group of the scalar manifold. We identify some components of the embedding tensor with Fayet-Iliopoulos terms and we find that supersymmetry implies that the inclusion of R-symmetry as a factor of the global symmetry group requires a non-trivial extension of the standard p-form hierarchy. This extension involves additional 3- and 4-forms. One additional 3-form is dual to the superpotential (seen as a deformation of the simplest theory). We study the closure of the supersymmetry algebra on all the bosonic p-form fields of the hierarchy up to duality relations. In order to close the supersymmetry algebra without the use of duality relations one must construct the hierarchy in terms of supermultiplets. Such a construction requires fermionic duality relations among the hierarchy's fermions and these turn out to be local.en_US
dc.description.sponsorshipM.H. would like to thank H. Samtleben for many useful discussions and the ´ Ecole Normale Supérieure de Lyon for its hospitality during the early stages of this work. JH was supported by a research grant of the Swiss National Science Foundation as well as by the “Innovations- und Kooperationsprojekt C-13” of the Schweizerische Universit¨atskonferenz SUK/CUS and further wishes to thank the Instituto de F´ısica Te´orica of the Universidad Autónoma de Madrid for its hospitality. This work has been supported in part by the INTAS Project 1000008-7928, the Spanish Ministry of Science and Education grants FPU AP2004-2574 (MH), FPA2006-00783 and PR2007-0073 (TO), the Comunidad de Madrid grant HEPHACOS P-ESP-00346 and by the Spanish Consolider-Ingenio 2010 program CPAN CSD2007-00042. Further, TO wishes to express his gratitude to M.M. Fernández for her unwavering support.en_US
dc.format.extent405874 bytes-
dc.language.isoInstitute of Physics (IOP)-
dc.publisherInstitute of Physics Publishing-
dc.publisherInternational School for Advanced Studies-
dc.subjectGauge Symmetryen_US
dc.subjectSupersymmetry and Dualityen_US
dc.subjectSupergravity Modelsen_US
dc.titleThe supersymmetric tensor hierarchy of N=1,d=4 supergravityen_US
dc.description.peerreviewedPeer revieweden_US
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