English

Statistical model and BPS D4-D2-D0 counting

High Energy Physics - Theory 2011-05-23 v2 Combinatorics

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.

Cite

@article{arxiv.1102.2992,
  title  = {Statistical model and BPS D4-D2-D0 counting},
  author = {Takahiro Nishinaka and Satoshi Yamaguchi},
  journal= {arXiv preprint arXiv:1102.2992},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T17:26:21.365Z