A simple SO(10) GUT in five dimensions

TL;DR

This paper proposes a simple five-dimensional supersymmetric SO(10) GUT model with orbifold compactification, achieving gauge symmetry breaking, proton decay suppression, and gauge coupling unification, while also incorporating a gaugino-mediated supersymmetry breaking mechanism.

Contribution

It introduces a novel 5D SO(10) GUT framework with orbifold boundary conditions that break symmetry and suppress proton decay, and details supersymmetry breaking transmission.

Findings

Gauge coupling unification achieved with threshold corrections.

Proton decay is fully suppressed in the model.

Supersymmetry breaking is transmitted via gaugino mediation.

Abstract

A simple supersymmetric SO(10) GUT in five dimensions is considered. The fifth dimension is compactified on the $S^1/(Z_2\times Z_2^\prime)$ orbifold possessing two inequivalent fixed points. In our setup, all matter and Higgs multiplets reside on one brane (PS brane) where the original SO(10) gauge group is broken down to the Pati-Salam (PS) gauge group, SU(4)$_c \timesSU(2)_L \times$ SU(2)$_R$, by the orbifold boundary condition, while only the SO(10) gauge multiplet resides in the bulk. The further breaking of the PS symmetry to the Standard Model gauge group is realized by Higgs multiplets on the PS brane as usual in four dimensional models. Proton decay is fully suppressed. In our simple setup, the gauge coupling unification is realized after incorporating threshold corrections of Kaluza-Klein modes. When supersymmetry is assumed to be broken on the other brane, supersymmetry breaking is transmitted to the PS brane through the gaugino mediation with the bulk gauge multiplet.