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arXiv · 1010.6002

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

Takahiro Nishinaka
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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.

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Takahiro Nishinaka. 2010-10-28. Multiple D4-D2-D0 on the Conifold and Wall-crossing with the Flop. https://doi.org/10.1007/jhep06(2011)065

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