SU(5) orbifold GUT in noncommutative geometry

TL;DR

This paper applies orbifold GUT mechanisms within noncommutative geometry to the SU(5) model, successfully forbidding proton decay at tree level by parity assignments, thus aligning the fermionic sector with the Standard Model.

Contribution

It introduces a novel approach combining orbifold GUTs and noncommutative geometry to suppress proton decay in SU(5) models through parity symmetry.

Findings

Fermionic Lagrangian matches the Standard Model

Proton decay is forbidden at tree level

Parity symmetry suppresses quantum fluctuation effects

Abstract

In this paper, we appliy the orbifold GUT mechanism to the SU(5) model in noncommutative geometry, including the fermonic sector. Imposing proper parity assignments for "constituent fields" of bosons and fermions, the couplings between fermions and the heavy bosons $X_{\mu}, Y_{\mu}$, and $ H^{c}$ are prohibited by the parity symmetry. As a result, the derived fermionic Lagrangian is just that of the standard model, and proton decay is forbidden at tree level. If quantum fluctuation respects the parity symmetry, the process will be naturally suppressed or even forbidden completely.