Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I

Sibasish Banerjee, Pietro Longhi, Mauricio Romo

We study BPS spectra of D-branes on local Calabi-Yau threefolds $\mathcal{O}(-p)\oplus \mathcal{O}(p-2)\to {\mathbb{P}}^1$ with $p=0,1$, corresponding to ${\mathbb{C}}^3/{\mathbb{Z}}_2$…