Embedding the Cremmer-Scherk Configuration into SO(16) and Effective SO(10) Gauge Symmetry

TL;DR

This paper demonstrates how the Cremmer-Scherk configuration can be embedded into SO(16) gauge theory, leading to symmetry breaking down to SO(10) and generating scalar fields that influence the gauge symmetry.

Contribution

It explicitly embeds the Cremmer-Scherk configuration into SO(16) and analyzes the resulting symmetry breaking to SO(10), including scalar field implications.

Findings

SO(16) gauge symmetry is broken to SO(10) by non-Abelian flux.

Adjoint scalar fields from compact directions become massive.

Scalar fields in the 10 representation may further break SO(10).

Abstract

We show the explicit embedding of the Cremmer-Scherk configuration into SO(16) Gauge theory and that the non-Abelian flux breaks the gauge symmetry SO(16) to SO(10). Adjoint scalar fields of SO(10) coming from components of six compact directions become massive. There are several scalar fields beloging to the representation 10, which may break SO(10).