The Absence of Observable Proton Decay in a Global $SU(5)$ F-theory Model

TL;DR

This paper constructs a string-inspired $SU(5)$ F-theory model with a twin sector, demonstrating that proton decay is not observable within this framework due to specific symmetry protections.

Contribution

It introduces a novel F-theory $SU(5)$ model with a twin sector and shows that proton decay remains unobservable because of R-parity and $bZ_4^R$ symmetry protections.

Findings

Proton decay is not observable in this model.

The model reproduces MSSM spectrum after symmetry breaking.

Symmetries prevent proton decay signatures.

Abstract

We begin with an $E_{8}\times E_{8}$ Heterotic model broken to an $SU(5)_{gauge} \times U(1)_{X}$ and a twin $SU(5)_{gauge} \times U(1)_{X}$, where one $SU(5)$ and its spectrum is identified as the visible sector while the other can be identified as a hidden twin sector. In both cases we obtain the minimal supersymmetric standard model (MSSM) spectrum after Wilson-line symmetry-breaking enhanced by a low energy R-parity and $\mathbb{Z}_4^R$ symmetry. We argue that there will not be any observable proton decay in this model