Split attractor flows and the spectrum of BPS D-branes on the quintic

We investigate the spectrum of type-IIA BPS D-branes on the quintic from a four-dimensional supergravity perspective and the associated split attracto r ow picture. We obtain some very concrete properties of the (quantum corre cted) spectrum, mainly based on an extensive numerical analysis, and to a l esser extent on exact results in the large radius approximation. We predict the presence and absence of some charges in the BPS spectrum in various re gions of moduli space, including the precise location of the lines of margi nal stability and the corresponding decay products. We explain how the gene ric appearance of multiple basins of attraction is due to the presence of c onifold singularities and give some specific examples of this phenomenon. S ome interesting space-time features of these states are also uncovered, suc h as a non trivial, moduli independent lower bound on the area of the core of arbitrary BPS solutions, whether they are black holes, empty holes, or m ore complicated composites.