ENHANCEMENT OF SUPERSYMMETRY NEAR A 5D BLACK-HOLE HORIZON

Geometric Killing spinors which exist on AdS(p+2)xS(d-p-2) sometimes m ay be identified with supersymmetric Killing spinors. This explains th e enhancement of unbroken supersymmetry near the p-brane horizon in d dimensions. The corresponding p-brane interpolates between two maximal ly supersymmetric vacua, at infinity and at the horizon. A new case is studied here: p=0, d=5. The details of the supersymmetric version of the very special geometry are presented. We find the area-entropy form ula of the supersymmetric 5D black holes via the volume of S-3 which d epends on charges and the intersection matrix.