Abelian Gauge Fluxes and Local Models in F-Theory

Understand

We analyze the Abelian gauge fluxes in local F-theory models with G_S=SU(6) and SO(10).

• For the case of G_S=SO(10), there is a no-go theorem which states that for an exotic-free spectrum, there are no solutions for U(1)^2 gauge fluxes.
• We explicitly construct the U(1)^2 gauge fluxes with an exotic-free bulk spectrum for the case of G_S=SU(6).
• We also analyze the conditions for the curves supporting the given field content and discuss non-minimal spectra of the MSSM with doublet-triplet splitting.