I will summarise the search for candidate dual geometries to 3-dimensional N-extended superconformal field theories, with N>4. This includes a classification of eleven-dimensional homogeneous lorentzian manifolds with a transitive isometric action of SO(3,2) x SO(N). We find no (new) backgrounds with N>5, but several new (to us) backgrounds with N=5, at least one of which is supersymmetric. We consider both AdS and non-AdS backgrounds. This is work in progress with Mara Ungureanu.
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