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A bstract We construct N N = (2, 2) supersymmetric AdS 3 solutions of type IIB supergravity, dual to twisted compactifications of 4d N N = 4 super-Yang-Mills on Riemann surfaces. We consider both theories with a regular topological twist, and a twist involving the isometry group of the Riemann surface. These solutions are interpreted as the near-horizon of black strings asymptoting to AdS 5 × S 5. As evidence for the proposed duality we compute the central charge of the gravity solutions and show that it agrees with the field theory result.
Couzens et al. (Tue,) studied this question.