Predictions of $SU(9)$ orbifold family unification

TL;DR

This paper investigates $SU(9)$ orbifold family unification models in six dimensions, deriving sfermion mass relations and highlighting the natural emergence of three standard model fermion families without mirror particles.

Contribution

It presents novel predictions for sfermion mass relations in $SU(9)$ orbifold models with a unique fermion family structure.

Findings

Derives specific sfermion mass relations.

Models naturally produce three fermion families.

No mirror particles accompany the standard model families.

Abstract

We study predictions of orbifold family unification models with $SU(9)$ gauge group on a six-dimensional space-time including the orbifold $T^2/Z_2$, and obtain relations among sfermion masses in the supersymmetric extension of models. The models have an excellent feature that just three families of the standard model fermions exist in a pair of Weyl fermions in the $[9, 3]$ representation as four-dimensional zero modes, without accompanying any mirror particles.