A Note on Local GUT Models in F-Theory

TL;DR

This paper constructs local GUT models in F-theory with higher rank bulk gauge groups, demonstrating how to break them down to GUT groups and MSSM with minimal exotic matter, providing explicit examples and spectra.

Contribution

It introduces non-minimal local GUT models in F-theory with higher rank bulk gauge groups and explicit symmetry breaking mechanisms to GUT and MSSM.

Findings

Constructed GUT models with bulk gauge groups SU(6), SO(10), SO(12), and E6.

Achieved complete GUT matter spectra with minimal exotic matter.

Demonstrated gauge symmetry breaking to MSSM via instanton configurations.

Abstract

We construct non-minimal GUT local models in the F-theory configuration. The gauge group on the bulk G_S is one rank higher than the GUT gauge group. The line bundles on the curves are non-trivial to break G_S down to the GUT gauge groups. We demonstrate examples of SU(5) GUT from G_S=SU(6) and G_S=SO(10), the flipped SU(5) from G_S=SO(10), and the SO(10) GUT from G_S=SO(12) and G_S=E_6. We obtain complete GUT matter spectra and couplings, with minimum exotic matter contents. GUT gauge group breaking to MSSM is achievable by instanton configurations.