F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds

Understand

We present compact three-generation F-theory GUT models meeting in particular the constraints of D3-tadpole cancellation and D-term supersymmetry.

• To this end we explicitly construct elliptically fibered Calabi-Yau fourfolds as complete intersections in a toric ambient space.
• Toric methods enable us to control the singular geometry of the SU(5) GUT model.
• The GUT brane wraps a non-generic del Pezzo surface admitting GUT symmetry breaking via hypercharge flux.