A Generalized Construction of Mirror Manifolds

Abstract

We generalize the known method for explicit construction of mirror pairs of $(2,2)$-superconformal field theories, using the formalism of Landau-Ginzburg orbifolds. Geometrically, these theories are realized as Calabi-Yau hypersurfaces in weighted projective spaces. This generalization makes it possible to construct the mirror partners of many manifolds for which the mirror was not previously known.

16 pages

References in corpus (2)

• String Theory on Calabi--Yau Manifolds: The Three Generations Case
• Classical {\it vs.}\ Landau-Ginzburg Geometry of Compactification

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