Gauged Supergravities

Abstract

We give a general review of extended supergravities and their gauging using the duality-covariant embedding tensor formalism. Although the focus is on four-dimensional theories, an overview of the gauging procedure and the related tensor hierarchy in the higher-dimensional models is given. The relation of gauged supergravities to flux compactifications is discussed and examples are worked out in detail.

Prepared for Physics Reports, 292 pages, LaTeX source plus 5 figures. With respect to version 6: corrections made in sections 2.3 and 5.1; typos corrected

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• Geodesic analysis and black hole shadows on a general non--extremal rotating black hole in five--dimensional gauged supergravity
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• The canonical formulation of E${}_{6(6)}$ exceptional field theory