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Superconformal multi-black hole moduli spaces in four dimensions

Quantum mechanics on the moduli space of N supersymmetric Reissner- Nordstrom black holes is shown to admit 4 supersymmetries using an unconventional su- permultiplet which contains 3N bosons and 4N fermions. A near-horizon limit is found in which the quantum mechanics of widely separated black holes decouples from that of strongly-interacting, near-coincident black holes. This near-horizon theory is shown to have an enhanced D(2;1;0) superconformal symmetry. The bosonic symmetries are SL(2; R) conformal symmetry and SU(2)£ SU(2) R-symmetry arising from spatial rotations and the R-symmetry ofN = 2 supergravity.