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Gauge Theories, Duality Relations and the Tensor Hierarchy

AutorBergshoeff, Eric A.; Hartong, Jelle ; Hohm, Olaf; Hübscher, Mechthild ; Ortín Miguel, Tomás
Palabras claveGauge Symmetry
Supergravity Models
Fecha de publicación29-abr-2009
EditorInstitute of Physics Publishing
International School for Advanced Studies
CitaciónJournal of High Energy Physics 04(123): (2009)
ResumenWe compute the complete 3- and 4-dimensional tensor hierarchies, i.e. sets of p-form fields, with 1 ≤ p ≤ D, which realize an off-shell algebra of bosonic gauge transformations. We show how these tensor hierarchies can be put on-shell by introducing a set of duality relations, thereby introducing additional scalars and a metric tensor. These so-called duality hierarchies encode the equations of motion of the bosonic part of the most general gauged supergravity theories in those dimensions, including the (projected) scalar equations of motion. We construct gauge-invariant actions that include all the fields in the tensor hierarchies. We elucidate the relation between the gauge transformations of the p-form fields in the action and those of the same fields in the tensor hierarchy.
Descripción42 pages.
Versión del editorhttp://dx.doi.org/10.1088/1126-6708/2009/04/123
URIhttp://hdl.handle.net/10261/17806
DOI10.1088/1126-6708/2009/04/123
ISSN1126-6708
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