Abstract :
For a large class of N = 2 SCFTs, which includes minimal models and many σ models on Calabi-Yau manifolds, the mirror theory can be obtained as an orbifold. We show that in such a situation the construction of the mirror can be extended to the presence of discrete torsions. In the case of the Z2 × Z2 torus orbifold, discrete torsion between the two generators directly provides the mirror model. Working at the Gepner point it is, however, possible to understand this mirror pair as a special case of the Berglund-Hübsch construction. This seems to indicate that the Z2 × Z2 example is a mere coincidence, due to special properties of Z2 twists, rather than a hint at a new mechanism for mirror symmetry.
