N = 2 extremal black holes

It is shown that extremal magnetic black hole solutions of N = 2 supergravity coupled to vector multiplets X^\Lambda with a generic holomorphic prepotential F(X^\Lambda) can be described as supersymmetric solitons which interpolate between maximally symmetric limiting solutions at spatial infinity and the horizon. A simple exact solution is found for the special case that the ratios of the X^\Lambda are real (imaginary), and it is seen that the logarithm of the conformal factor of the spatial metric equals the K\"{a}hler potential on the vector multiplet moduli space. Several examples are discussed in detail.