Supersymmetric three family chiral SU(6) grand unification model from F-theory

TL;DR

This paper constructs a supersymmetric three-family chiral SU(6) grand unification model from F-theory, featuring realistic fermion masses, a natural doublet-triplet splitting, and proton stability, with potential gauge coupling unification.

Contribution

It presents a novel F-theory-based SU(6) GUT model with three families, addressing fermion masses, doublet-triplet splitting, and proton stability in a unified framework.

Findings

All fermion masses are reasonably generated.

Only one pair of Higgs doublets is realized.

Proton lifetime estimated in the 10^{36-37} years range.

Abstract

We obtain a supersymmetric three family chiral SU(6) grand unification model with the global family symmetry SU(3)[family] from F-theory. This model has nice features such as all the fermion masses are reasonably generated and there results only one pair of Higgs doublets, realizing the doublet-triplet splitting from the family symmetry SU(3)[family]. The proton hexality is realized toward the proton stability problem. There is a room to fit the three gauge couplings using the F-theory flux idea and we obtain the proton lifetime in the 10^{36-37} yr region.