L. Andrianopoli, Central charges, black-hole entropy and geometrical structure of N-extended supergravities in D = 4, FORTSCHR PH, 47(1-3), 1999, pp. 101-107
The derivation of absolute (moduli-independent) U-invariants for all N > 2
extended supergravities at D = 4 in terms of (moduli-dependent) central and
matter charges is reported.
These invariants give a general definition of the "topological" Bekenstein-
Hawking entropy formula for extremal black-holes and reduce to the square o
f the black-hole ADM mass for "fixed scalars" which extremize the black-hol
e "potential" energy.