Branes, Bundles and Attractors: Bogomolov and Beyond
  We discuss conjectures following from the attractor mechanism in type II string theory about the possible Chern classes of stable holomorphic vector bundles on Calabi-Yau threefolds. In particular, we give sufficient conditions for Chern classes to correspond to stable bundles. 
Michael R. Douglas, Rene Reinbacher and Shing-Tung Yau