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Superconformal multi-black hole quantum mechanics

Superconformal multi-black hole quantum mechanics,10.1088/1126-6708/1999/09/005,Journal of High Energy Physics,Jeremy Michelson,Andrew Strominger

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Superconformal multi-black hole quantum mechanics   (Citations: 32)
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The quantum mechanics of N slowly-moving charged BPS black holes in five-dimensional Script N = 1 supergravity is considered. The moduli space metric of the N black holes is derived and shown to admit 4 supersymmetries. A near-horizon limit is found in which the dynamics of widely separated black holes decouples from that of strongly-interacting, near-coincident black holes. This decoupling suggests that the quantum states supported in the near-horizon moduli space can be interpreted as internal states of a single composite black hole carrying all of the charge. The near-horizon theory is shown to have an enhanced D(2,1;0) superconformal symmetry. Eigenstates of the Hamiltonian H of the near-horizon theory are ill-defined due to noncompact regions of the moduli space corresponding to highly redshifted near-coincident black holes. It is argued that one should consider, instead of H eigenstates, eigenstates of 2L0 = H+K, where K is the generator of special conformal transformations. The result is a well defined Hilbert space with a discrete spectrum describing the N-black hole dynamics.
Journal: Journal of High Energy Physics - J HIGH ENERGY PHYS , vol. 9, no. 09, pp. 005-005, 1999
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