SU(5) and SO(10) Models from F-Theory with Natural Yukawa Couplings

Understand

We construct the SU(5) and SO(10) models from F-theory.

• Turning on the U(1) fluxes, we can break the SU(5) gauge symmetry down to the Standard Model (SM) gauge symmetry, and break the SO(10) gauge symmetry down to the SU(3)_C X SU(2)_L X SU(2)_R X U(1)_{B-L} gauge symmetry.
• In particular, all the SM fermion Yukawa couplings preserve the enhanced U(1)_a X U(1)_b gauge or global symmetries at the triple intersections of the SM fermion and Higgs curves.
• And the SM fermion masses and mixings can be generated in the presence of background fluxes.