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We extend the topological Kerr-Newman- adS solutions by including NUT charge and find generalizations of the Robinson-Bertotti solution to the negative cosmological constant case with different topologies. We show how all of these solutions can be obtained as limits of the general Plebanski-Demianski solution. We study the supersymmetry properties of all these solutions in the context of gauged N = 2, d = 4 supergravity. Generically they preserve, at most, quarter of the total supersymmetry. In the Plebanski-Demianski case, although gauged N = 2, d = 4 supergravity does not have electro-magnetic duality, we find that the family of supersymmetric solutions still exhibits an electro-magnetic duality in which electric and magnetic charges and mass and Taub-NUT charge are rotated simultaneously.
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Alonso-Alberca et al. (2000) studied this question.
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