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Central Extension of Extended Supergravities in Diverse Dimensions

L. Andrianopoli, R. D'Auria, S. Ferrara

hep-tharXiv:hep-th/9608015

Abstract

We generalize central-charge relations and differential identities of N=2 Special Geometry to N extended supergravity in any dimension 4 ≤ D <10, and p-extended objects. We study the extremization of the ADM mass per unit of p-volume of BPS extended objects. Runaway solutions for a ``dilaton'' degree of freedom leading to a vanishing result are interpreted as BPS extremal states having vanishing Bekenstein-Hawking Entropy.

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