Attractors in black

We review recent results in the study of attractor horizon geometries (with non-vanishing Bekenstein-Hawking entropy) of dyonic extretnal d = 4 black holes in supergravity. We focus on N = 2, d = 4 ungauged supergravity coupled to a number n(V) of Abelian vector multiplets, outlining the fundamentals of the special Kahler geometry of the vector multiplets' scalar manifold (of complex dimension rail), and studying the 1/2-BPS attractors, as well as the non-BPS (non-supersymmetric) ones with non-vanishing central charge. For symmetric special Kahler geometries, we present the complete classification of the orbits in the symplectic representation of the classical U-duality group (spanned by the black hole charge configuration supporting the attractors), as well as of the moduli spaces of non-BPS attractors (spanned by the scalars which are not stabilized at the black hole event horizon). Finally, we report on an analogous classification for N > 2-extended, d = 4 ungauged supergravities, in which also the 1/N-BPS attractors yield a related moduli space. (c) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.