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Open Access item Gauge Theories, Duality Relations and the Tensor Hierarchy

Authors:Bergshoeff, Eric A.
Hartong, Jelle
Hohm, Olaf
Hübscher, Mechthild
Ortín Miguel, Tomás
Keywords:Gauge Symmetry, Supergravity Models
Issue Date:29-Apr-2009
Publisher:Institute of Physics Publishing
International School for Advanced Studies
Citation:Journal of High Energy Physics 04(123): (2009)
Abstract:We 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.
Description:42 pages.
Publisher version (URL):http://dx.doi.org/10.1088/1126-6708/2009/04/123
URI:http://hdl.handle.net/10261/17806
ISSN:1126-6708
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