# Asymptotic Ultraviolet-safe Unification of Gauge and Yukawa Couplings: The exceptional case

## TL;DR

This paper proposes a model unifying gauge and Yukawa couplings using supersymmetric exceptional E6 symmetry in five dimensions, requiring three fermion generations and offering options to preserve baryon number and lower the unification scale.

## Contribution

It introduces a novel asymptotic unification framework combining gauge and Yukawa couplings with exceptional E6 symmetry in extra dimensions, requiring specific fermion configurations.

## Key findings

- Unification of gauge and Yukawa couplings achieved in a supersymmetric E6 model.
- Ultraviolet fixed point necessitates exactly three fermion generations.
- Model allows for baryon number preservation and lower unification scales.

## Abstract

The ultimate dream of unification models consists in combining both gauge and Yukawa couplings into one unified coupling. This is achieved by using a supersymmetric exceptional ${\rm E}_6$ gauge symmetry together with asymptotic unification in compact five-dimensional space-time. The ultraviolet fixed point requires exactly three fermion generations: one in the bulk, and the two light ones localised on the ${\rm SO}(10)$ boundary in order to cancel gauge anomalies. A second option allows to preserve baryon number and to lower the compactification scale down to the typical scales of the intermediate Pati-Salam gauge theory.