Multiple D4-D2-D0 on the Conifold and Wall-crossing with the Flop
arXiv:1010.6002 · doi:10.1007/JHEP06(2011)065
Abstract
We study the wall-crossing phenomena of D4-D2-D0 bound states with two units of D4-brane charge on the resolved conifold. We identify the walls of marginal stability and evaluate the discrete changes of the BPS indices by using the Kontsevich-Soibelman wall-crossing formula. In particular, we find that the field theories on D4-branes in two large radius limits are properly connected by the wall-crossings involving the flop transition of the conifold. We also find that in one of the large radius limits there are stable bound states of two D4-D2-D0 fragments.
24 pages, 4 figures; v2: typos corrected, minor changes, a reference added
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