SO(10) domain-wall brane models

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.