Central Extension of Extended Supergravities in Diverse Dimensions
arXiv:hep-th/9608015 · doi:10.1142/S0217751X97001936
Abstract
We generalize central-charge relations and differential identities of N=2 Special Geometry to N extended supergravity in any dimension 4 \leq 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.
13 pages, LaTeX, no figures. This is the last version which will appear in International Journal of Modern Physics A