A Global SU(5) F-theory model with Wilson line breaking

Understand

We engineer compact SU(5) Grand Unified Theories in F-theory in which GUT-breaking is achieved by a discrete Wilson line.

• Because the internal gauge field is flat, these models avoid the high scale threshold corrections associated with hypercharge flux.
• Along the way, we exemplify the `local-to-global' approach in F-theory model building and demonstrate how the Tate divisor formalism can be used to address several challenges of extending local models to global ones.
• These include in particular the construction of G-fluxes that extend non-inherited bundles and the engineering of U(1) symmetries.