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Nonperturbative black hole entropy and Kloosterman sums
Non-perturbative quantum corrections to supersymmetric black hole entropy often involve nontrivial number-theoretic phases called Kloosterman sums. We show how these sums can be obtained naturally from the functional integral of supergravity in asymptotically AdS 2 space for a class of black holes. They are essentially topological in origin and correspond …