In these lectures we give a geometrical formulation of N-extrended 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.
Duality covariant formulation of extended supergravity: Central charges, BPS states and black hole entropy / Andrianopoli, Laura Maria; D'Auria, Riccardo; S., Ferrara. - In: FORTSCHRITTE DER PHYSIK. - ISSN 0015-8208. - 46 (3):(1998), pp. 285-323. (Intervento presentato al convegno Nonperturbative Aspects of Strings, Branes and Fields tenutosi a Geneva (CHE) nel 8-12 Dec. 1997) [10.1002/(SICI)1521-3978(199804)].
Duality covariant formulation of extended supergravity: Central charges, BPS states and black hole entropy
ANDRIANOPOLI, Laura Maria;D'AURIA, RICCARDO;
1998
Abstract
In these lectures we give a geometrical formulation of N-extrended 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.Pubblicazioni consigliate
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https://hdl.handle.net/11583/1399684
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