Two-Black-Hole Bound States

Details Two-Black-Hole Bound States Two-Black-Hole Bound States

2000-04-04

arxiv.org/abs/hep-th/0004017v3

JHEP 0103:050,2001

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, harvmac. Minor corrections to section 2

Scientific paper

10.1088/1126-6708/2001/03/050

The quantum mechanics of $N$ slowly-moving BPS black holes in five dimensions is considered. A divergent continuum of states describing arbitrarily closely bound black holes with arbitrarily small excitation energies is found. A superconformal structure appears at low energies and can be used to define an index counting the weighted number of supersymmetric bound states. It is shown that the index is determined from the dimensions of certain cohomology classes on the symmetric product of $N$ copies of $R^4$. An explicit computation for the case of N=2 with no angular momentum yields a finite nonzero result.

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