Statistical model and BPS D4-D2-D0 counting
  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. 
Takahiro Nishinaka and Satoshi Yamaguchi
hep-th math.CO