L. Andrianopoli et al., CENTRAL EXTENSION OF EXTENDED SUPERGRAVITIES IN DIVERSE DIMENSIONS, International journal of modern physics A, 12(21), 1997, pp. 3759-3773
We generalize central-charge relations and differential identities of
N = 2 special geometry to N extended supergravity in any dimension 4 l
ess than or equal to D < 10, and p-extended objects. We study the extr
emization of the ADM mass per unit of p-volume of BPS extended objects
. Runaway solutions for a ''dilaton'' degree of freedom leading to a v
anishing result are interpreted as BPS extremal states having vanishin
g Bekenstein-Hawking entropy.