Coset space dimensional reduction and Wilson flux breaking of ten-dimensional $\mathcal{N}=1$ , E 8 gauge theory

Abstract

We consider a $\mathcal{N}=1$ supersymmetric E 8 gauge theory, defined in ten dimensions and we determine all four-dimensional gauge theories resulting from the generalized dimensional reduction à la Forgacs–Manton over coset spaces, followed by a subsequent application of the Wilson flux spontaneous symmetry-breaking mechanism. Our investigation is constrained only by the requirements that (i) the dimensional reduction leads to the potentially phenomenologically interesting, anomaly-free, four-dimensional E 6, SO10 and SU5 GUTs and (ii) the Wilson flux mechanism makes use only of the freely acting discrete symmetries of all possible six-dimensional coset spaces.