2020-04-05T10:09:24Z
http://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/17799
2016-02-16T05:40:21Z
com_10261_49
com_10261_4
col_10261_175
2009-10-20T09:18:11Z
urn:hdl:10261/17799
The supersymmetric tensor hierarchy of N=1,d=4 supergravity
Hartong, Jelle
Hübscher, Mechthild
Ortín Miguel, Tomás
Gauge Symmetry
Supersymmetry and Duality
Supergravity Models
38 pages.
In 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.
2009-10-20T09:18:11Z
2009-10-20T09:18:11Z
2009-06-29
artículo
Journal of High Energy Physics 06(090): (2009)
1126-6708
http://hdl.handle.net/10261/17799
10.1088/1126-6708/2009/06/090
Institute of Physics (IOP)
eng
http://dx.doi.org/10.1088/1126-6708/2009/06/090
openAccess
Institute of Physics Publishing
International School for Advanced Studies