Black hole attractors and the topological string
Abstract
A simple relationship of the form Z_{BH}=Z_{top}^{2} is conjectured, where Z_{BH} is a supersymmetric partition function for a fourdimensional BPS black hole in a CalabiYau compactification of Type II superstring theory and Z_{top} is a secondquantized topological string partition function evaluated at the attractor point in moduli space associated to the black hole charges. Evidence for the conjecture in a perturbation expansion about large graviphoton charge is given. The microcanonical ensemble of BPS black holes can be viewed as the Wigner function associated to the wave function defined by the topological string partition function.
 Publication:

Physical Review D
 Pub Date:
 November 2004
 DOI:
 10.1103/PhysRevD.70.106007
 arXiv:
 arXiv:hepth/0405146
 Bibcode:
 2004PhRvD..70j6007O
 Keywords:

 11.25.Mj;
 04.70.s;
 Compactification and fourdimensional models;
 Physics of black holes;
 High Energy Physics  Theory
 EPrint:
 32 pages, harvmac