A note on statistical model for BPS D4–D2–D0 states
Copyright policy )A note on statistical model for BPS D4–D2–D0 states
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.
14 pages, 7 figures
High Energy Physics - Theory, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), FOS: Physical sciences, Combinatorics (math.CO), Algebraic Geometry (math.AG)
High Energy Physics - Theory, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), FOS: Physical sciences, Combinatorics (math.CO), Algebraic Geometry (math.AG)
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