Abstract
We report on a classification of supersymmetric solutions to 11D supergravity with isometry, which are AdS/CFT dual to 2D CFTs with supersymmetry. We recover the Maldacena, Strominger, Witten (MSW) near-horizon with small superconformal symmetry and identify a class of geometries with emergent large superconformal symmetry. This exhausts known compact geometries. Compactification of M-theory on results in a vacuum of 7D supergravity with large superconformal symmetry, providing a candidate near-horizon for an extremal black hole and a potential new setting to address microstates.
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