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Flat Symplectic Bundles of N-Extended Supergravities, Central Charges and Black-Hole Entropy
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In these lectures we give a geometrical formulation of N-extended supergravities which generalizes N=2 special geometry of N=2 theories. In all these theories duality symmetries are related to the notion of "flat symplectic bundles" and central charges may be defined as "sections" over these bundles. Attractor points giving rise to "fixed scalars" of the horizon geometry and Bekenstein-Hawking entropy formula for extremal black-holes are discussed in some details.
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Supersymmetry and Attractors in N = 4 Supergravity: The Superconformal Approach
Numerical confirmation of the attractor mechanism and 1/4 supersymmetry preservation for generic dyonic extremal black holes in pure N=4 supergravity.
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