Superconformal multi-black hole quantum mechanics
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CitationMichelson, Jeremy, and Andrew Strominger. 1999. “Superconformal Multi-Black Hole Quantum Mechanics.” Journal of High Energy Physics 1999 (9): 005–005. https://doi.org/10.1088/1126-6708/1999/09/005.
AbstractThe quantum mechanics of N slowly-moving charged BPS black holes in five-dimensional 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 2L(o) = 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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41417424
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