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Aspects of Supergravity
Mario Trigiante - Politecnico of Torino, Torino
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The course deals with the local realisation of the supersymmetry algebra. After a brief introduction to the supersymmetry algebra and its representations, the course aims at constructing pure supergravity theories in four dimensions and its general couplings to matter. Generalisations to higher-dimensional supergravity theories and gauged supergravities will also be discussed.
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1. Supersymmetry and Supergravity.
The Super-Poincaré algebra
Poincaré superspace
Representations of the Super-Poincaré algebra
Local Symmetries
Curved Space-Time
Fermions on curved space-time
Einstein gravity in the first-order formalism
Supergravity
2. Extended Supergravity and Black-Holes.
Matter coupled and extended supergravitites
On-shell duality invariance
Black-holes in supergravity
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Preliminary Lecture notes |
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