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We study the wall-crossing phenomena of D4-D2-D0 bound states with two unitsof D4-brane charge on the resolved conifold. We identify the walls of marginalstability and evaluate the discrete changes of the BPS indices by using theKontsevich-Soibelman wall-crossing formula. In particular, we find that thefield theories on D4-branes in two large radius limits are properly connectedby the wall-crossings involving the flop transition of the conifold. We alsofind that in one of the large radius limits there are stable bound states oftwo D4-D2-D0 fragments.

Multiple D4-D2-D0 on the Conifold and Wall-crossing with the Flop