A note on statistical model for BPS D4-D2-D0 states

Details A note on statistical model for BPS D4-D2-D0 states A note on statistical model for BPS D4-D2-D0 states

2011-08-22

arxiv.org/abs/1108.4326v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 7 figures

Scientific paper

We construct a statistical model that reproduces the BPS partition function of D4-D2-D0 bound states on a class of toric Calabi-Yau three-folds. The Calabi-Yau three-folds we consider are obtained by adding a compact two-cycle to $A_{N-1}$-ALE $\times \mathbb{C}$. We show that in the small radii limit of the Calabi-Yau the D4-D2-D0 partition function is correctly reproduced by counting the number of triangles and parallelograms.

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