We first review the Coset Space Dimensional Reduction (CSDR) programme and present the best model constructed so far based on the N=1, 10-dimensional E8 gauge theory reduced over the nearly-K\"ahler manifold SU(3)/U(1)×U(1) with the additional use of the Wilson flux mechanism. Then we present the corresponding programme in the case that the extra dimensions are considered to be fuzzy coset spaces and the best model that has been constructed in this framework too. In both cases the best model appears to be the trinification GUT SU(3)3.
@article{arxiv.1504.07276,
title = {Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions},
author = {D. Gavriil and G. Manolakos and G. Orfanidis and G. Zoupanos},
journal= {arXiv preprint arXiv:1504.07276},
year = {2016}
}