Toward the M(F)-theory embedding of realistic free-fermion models

摘要

We construct a Landau-Ginzburg model with the same data and symmetries as a Z(sub 2) x Z(sub 2) orbifold that corresponds to a class of realistic free-fermion models. Within the class of interest, we show that this orbifolding connects between different Z(sub 2) x Z(sub 2) orbifold models and connects with the mirror symmetry. Our work suggests that duality symmetries previously discussed in the context of specific M and F theory compactifications may be extended to the special Z(sub 2) x Z(sub 2) orbifold that characterizes realistic free-fermion models.