A generalized construction of mirror manifolds

1992/01/09 by Per Berglund, P. Berglund, Tristan Hübsch +1 · 11 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/0550-3213(93)90250-s

published as Nucl.Phys. B393 (1993) 377-391 · 16 pages

arxiv created 1992/01/09 · openalex publication_date 1993/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• CLASSICAL VS. LANDAU-GINZBURG GEOMETRY OF COMPACTIFICATION

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• Invertible Calabi-Yau Orbifolds over Finite Fields
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• Strings on Calabi—Yau spaces and toric geometry
• On the Classification of Reflexive Polyhedra
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