Global F-theory GUTs

Understand

We construct global F-theory GUT models on del Pezzo surfaces in compact Calabi-Yau fourfolds realized as complete intersections of two hypersurface constraints.

• The intersections of the GUT brane and the flavour branes as well as the gauge flux are described by the spectral cover construction.
• We consider a split S[U(4) x U(1)_X] spectral cover, which allows for the phenomenologically relevant Yukawa couplings and GUT breaking to the MSSM via hypercharge flux while preventing dimension-4 proton decay.
• General expressions for the massless spectrum, consistency conditions and a new method for the computation of curvature-induced tadpoles are presented.