Statistical model and BPS D4-D2-D0 counting

Published 15 Feb 2011 in hep-th and math.CO | (1102.2992v2)

Abstract: We construct a statistical model that correctly reproduces the BPS partition function of D4-D2-D0 bound states on the resolved conifold. We prove that the known partition function of the BPS indices is reproduced by the counting "triangular partitions" problem. The wall-crossing phenomena in our model are also studied.

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