Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds

Understand

We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases.

• In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fibered three-folds with a second section and a freely-acting involution.
• Specifically, we consider toric weak Fano surfaces as base manifolds and identify six such manifolds with the required properties.
• The requisite mathematical tools for the construction of line bundle models on these spaces, including the calculation of line bundle cohomology, are developed.