# GUT inspired $SO(5) \times U(1) \times SU(3)$ gauge-Higgs unification

## TL;DR

This paper constructs a gauge-Higgs unification model based on $SO(5) imes U(1) imes SU(3)$ in warped space, inspired by $SO(11)$ grand unification, successfully reproducing fermion spectra and explaining small neutrino masses.

## Contribution

It introduces a novel $SO(5) imes U(1) imes SU(3)$ gauge-Higgs unification model inspired by $SO(11)$ grand unification in warped space, with a new mechanism for neutrino masses.

## Key findings

- Reproduces quark and lepton mass spectra except for down quark.
- Explains small neutrino masses via gauge-Higgs seesaw mechanism.
- Constructs a consistent grand unified gauge-Higgs model in warped space.

## Abstract

$SO(5) \times U(1) \times SU(3)$ gauge-Higgs unification model inspired by $SO(11)$ gauge-Higgs grand unification is constructed in the Randall-Sundrum warped space. The 4D Higgs boson is identified with the Aharonov-Bohm phase in the fifth dimension. Fermion multiplets are introduced in the bulk in the spinor, vector and singlet representations of $SO(5)$ such that they are implemented in the spinor and vector representations of $SO(11)$. The mass spectrum of quarks and leptons in three generations is reproduced except for the down quark mass. The small neutrino masses are explained by the gauge-Higgs seesaw mechanism which takes the same form as in the inverse seesaw mechanism in grand unified theories in four dimensions.