A note on local GUT models in F-theory

Abstract

We construct non-minimal GUT local models in the F-theory configuration. The gauge group on the bulk GS is one rank higher than the GUT gauge group. The line bundles on the curves are nontrivial to break GS down to the GUT gauge groups. We demonstrate examples of SU(5) GUT from GS=SU(6) and GS=SO(10), the flipped SU(5) from GS=SO(10), and the SO(10) GUT from GS=SO(12) and GS=E6. We obtain complete GUT matter spectra and couplings, with minimum exotic matter contents. GUT gauge group breaking to MSSM is achievable by instanton configurations.