MSSM from F-theory SU(5) with Klein Monodromy

TL;DR

This paper explores a class of F-theory SU(5) models with Klein monodromy, demonstrating how geometric symmetries can realize matter parity and resulting in a minimal MSSM-like low-energy theory with neutrino masses.

Contribution

It introduces a geometric realization of matter parity in F-theory SU(5) models with Klein monodromy, leading to a minimal MSSM spectrum with neutrino masses.

Findings

Matter parity can be geometrically realized via spectral cover symmetries.

The low-energy theory is the MSSM with no exotics and standard matter parity.

Inclusion of the seesaw mechanism with two right-handed neutrinos.

Abstract

We revisit a class of $SU(5)$ SUSY GUT models which arise in the context of the spectral cover with Klein Group monodromy $V_4=Z_2\times Z_2$. We show that $Z_2$ matter parities can be realised via new geometric symmetries respected by the spectral cover. We discuss a particular example of this kind, where the low energy effective theory below the GUT scale is just the MSSM with no exotics and standard matter parity, extended by the seesaw mechanism with two right-handed neutrinos.