Supersymmetry of anti-de Sitter black holes

We examine supersymmetry of four-dimensional asymptotically anti-de Sitter (AdS) dyonic black holes in the context of gauged N = 2 supergravity. Our c alculations concentrate on black holes with unusual topology and their rota ting generalizations, but we also reconsider the spherical rotating dyonic Kerr-Newman-AdS black hole, whose supersymmetry properties have previously been investigated by Kostelecky and Ferry within another approach. We find that in the case of spherical, toroidal or cylindrical event horizon topolo gy, the black holes must rotate in order to preserve some supersymmetry; th e non-rotating supersymmetric configurations representing naked singulariti es. However, we show that this is no more true for black holes whose event horizons are Riemann surfaces of genus g > 1, where we find a non-rotating extremal solitonic black hole carrying magnetic charge and permitting one K illing spinor. For the non-rotating supersymmetric configurations of variou s topologies, all Killing spinors are explicitly constructed. (C) 1999 Else vier Science B.V.