On the equivalence of Batyrev and BHK mirror symmetry constructions

DOI10.1016/j.nuclphysb.2020.115271zbMath1473.14075arXiv2010.07687OpenAlexW3093044242MaRDI QIDQ823202

Boris Eremin, Alexander A. Belavin

Publication date: 24 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07687

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Topology and geometry of orbifolds (57R18) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (2)

Periods of the multiple Berglund-Hübsch-Krawitz mirrors ⋮ Explicit construction of \(N=2\) superconformal orbifolds

Cites Work

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• LG/CY correspondence: the state space isomorphism
• Birationality of Berglund-Hübsch-Krawitz mirrors
• Special geometry
• Moduli space of Calabi-Yau manifolds
• On the classification of quasihomogeneous functions
• Partition functions of \(\mathcal{N}=(2,2)\) supersymmetric sigma models and special geometry on the moduli spaces of Calabi-Yau manifolds
• Mirror symmetry constructions
• Berglund-Hübsch-Krawitz mirrors via Shioda maps
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• JKLMR conjecture and Batyrev construction

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