Grand Unification from Gauge Theory on $M_4 \times Z_N$

TL;DR

This paper derives grand unified theories like SU(5) and SO(10) from gauge theory formulated on a three-sheeted space-time, offering a geometric perspective without relying on noncommutative geometry.

Contribution

It presents a novel geometric derivation of GUTs from gauge theory on $M_4 imes Z_N$ spaces, expanding the understanding of unification models.

Findings

Derivation of SU(5) GUT from geometric gauge theory.

Discussion of SO(10) GUT derivation.

No use of noncommutative geometry in the derivation.

Abstract

The SU(5) grand unified theory (GUT) is derived from the geometrical point of view of gauge theory on three-sheeted space-time, i.e., $M_4 \times Z_3$ manifold without recourse to noncommutative geometry. A derivation of SO(10) GUT is also discussed in the same point of view.