Gauged supergravities in various spacetime dimensions

Weidner, Martin; Samtleben, Henning

Dissertation / PhD Thesis

PUBDB-2016-01884

Gauged supergravities in various spacetime dimensions

Weidner, M. (Corresponding author) ; Samtleben, H. (Thesis advisor)

2007

149 pp. (2007) [10.3204/PUBDB-2016-01884] = Dissertation, Universität Hamburg, 2007

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Please use a persistent id in citations: doi:10.3204/PUBDB-2016-01884

Report No.: DESY-THESIS-2006-033; hep-th/0702084

Abstract: In this review articel we study the gaugings of extended supergravity theories in various space-time dimensions. These theories describe the low-energy limit of non-trivial string compactifications. For each theory under consideration we review all possible gaugings that are compatible with supersymmetry. They are parameterized by the so-called embedding tensor which is a group theoretical object that has to satisfy certain representation constraints. This embedding tensor determines all couplings in the gauged theory that are necessary to preserve gauge invariance and supersymmetry. The concept of the embedding tensor and the general structure of the gauged supergravities are explained in detail. The methods are then applied to the half-maximal (N=4) supergravities in d=4 and d=5 and to the maximal supergravities in d=2 and d=7. Examples of particular gaugings are given. Whenever possible, the higher-dimensional origin of these theories is identified and it is shown how the compactification parameters like fluxes and torsion are contained in the embedding tensor.

Keyword(s): thesis ; supergravity ; any-dimensional ; gauge field theory ; string model ; dimensional reduction ; supersymmetry: transformation ; transformation: gauge