Heterotic models from vector bundles on toric Calabi-Yau manifolds

We systematically approach the construction of heterotic E 8 × E 8Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus on a simple class of 101 such three-folds with smooth ambient spaces, on which we perform an exhaus...