Abstract
We construct a Landau–Ginzburg model with the same data and symmetries as a Z 2× Z 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 2× Z 2 orbifold models and commutes 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 2× Z 2 orbifold that characterizes realistic free-fermion models.
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