We construct three‐family
GUT‐like models, based on an orbifold in the
heterotic string theory . We recently classified orbifolds on the
root lattice. Interestingly, we found that some of the twisted sectors from the
orbifold on the
root lattice have just three fixed tori respectively, and it leads to three degenerate massless states. These models also include strongly coupled sectors in the low energy and messenger states charged with both hidden and visible sectors. We present the massless spectra of the models, and consider their interactions.