2000/04/30 by Ruth Britto-Pacumio, Andrew Strominger, Anastasia Volovich · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2001/03/050
published as JHEP 0103:050,2001 · 21 pages, harvmac. Minor corrections to section 2
openalex publication_date 2001/03/29 · arxiv created 2001/10/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
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 R4. An explicit computation for the case of N=2 with no angular momentum yields a finite nonzero result.