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Statistical model and BPS D4-D2-D0 counting

arXiv:1102.2992 · doi:10.1007/JHEP05(2011)072

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.

9 pages, 6 figures; v2: typos corrected, minor changes