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arXiv · hep-th/9303015

Where are the Mirror Manifolds?

Maximilian Kreuzer
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Abstract

The recent classification of Landau--Ginzburg potentials and their abelian symmetries focuses attention on a number of models with large positive Euler number for which no mirror partner is known. All of these models are related to Calabi--Yau manifolds in weighted $\IP_4$, with a characteristic structure of the defining polynomials. A closer look at these potentials suggests a series of non-linear transformations, which relate the models to configurations for which a construction of the mirror is known, though only at certain points in moduli space. A special case of these transformations generalizes the $\ZZ_2$ orbifold representation of the $D$ invariant, implying a hidden symmetry in tensor products of minimal models.

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Maximilian Kreuzer. 1993-04-22. Where are the Mirror Manifolds?. https://doi.org/10.1016/0370-2693(93)91318-h

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