SO(10) domain-wall brane models

TL;DR

This paper develops SO(10) grand-unification domain-wall brane models, demonstrating the localization of fermion zero modes and exploring symmetry-breaking scenarios consistent with the standard model, incorporating dynamical gravity localization.

Contribution

It generalizes SU(5) brane models to SO(10), showing how to localize fermions and achieve symmetry breaking within a dynamical gravity framework.

Findings

Fermion zero modes can be localized on the SO(10) domain wall.

Two symmetry-breaking scenarios are viable inside the wall.

Dynamical gravity localization is achieved via the Randall-Sundrum mechanism.

Abstract

We construct domain-wall brane models based on the grand-unification group SO(10), generalising the SU(5) model of Davies, George and Volkas. Motivated by the Dvali-Shifman proposal for the dynamical localisation of gauge bosons, the SO(10) symmetry is spontaneously broken inside the wall. We present two scenarios: in the first, the unbroken subgroup inside the wall is SU(5) x U(1)X, and in the second it is the left-right symmetry group SU(3) x SU(2)L x SU(2)R x U(1)B-L. In both cases we demonstrate that the phenomenologically-correct fermion zero modes can be localised to the wall, and we briefly discuss how the symmetry-breaking dynamics may be extended to induce breaking to the standard model group with subsequent electroweak breaking. Dynamically localised gravity is realised through the type 2 Randall-Sundrum mechanism.