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

Abstract

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

References in corpus (12)

• Non-commutative Donaldson-Thomas theory and the conifold
• Crystal Melting and Toric Calabi-Yau Manifolds
• Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions
• Crossing the Wall: Branes vs. Bundles
• Emergent Calabi-Yau Geometry
• On the noncommutative Donaldson-Thomas invariants arising from brane tilings
• Ample D4-D2-D0 Decay
• Statistical model and BPS D4-D2-D0 counting
• Multiple D4-D2-D0 on the Conifold and Wall-crossing with the Flop
• Crystals, instantons and quantum toric geometry
• Fragmenting D4 branes and coupled q-deformed Yang Mills
• Evidence for Duality of Conifold from Fundamental String

Cited by in corpus (6)

• Shifted Quiver Quantum Toroidal Algebra and Subcrystal Representations
• Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities
• Beta-ensembles for toric orbifold partition function
• Crystal Melting, BPS Quivers and Plethystics
• Vertical D4-D2-D0 bound states on K3 fibrations and modularity
• Wall-crossing, Toric divisor and Seiberg duality