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In this thesis we study maximally supersymmetric solutions of gauged supergravity theories, with special focus on anti-de Sitter solutions. The latter are relevant in the context of the AdS/CFT correspondence. In the first part we classify all maximally supersymmetric solutions of all gauged or deformed supergravity theories in space-time dimensions. In the second part we exclusively study maximally supersymmetric AdS solutions of gauged supergravities in dimensions . We discuss the structure of the allowed gauge groups as well as possible supersymmetry preserving deformations, which correspond to the conformal manifold of the dual SCFTs.

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