Coincidences between Calabi-Yau manifolds of Berglund-Hübsch type and Batyrev polytopes

DOI10.1134/S0040577920110045zbMath1453.81051arXiv2005.06008OpenAlexW3107652658MaRDI QIDQ2215184

M. Yu. Belakovskiy, Alexander A. Belavin

Publication date: 11 December 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06008

zbMATH Keywords

mirror symmetrysuperstring theorycompactification on Calabi-Yau manifold

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Topology and geometry of orbifolds (57R18) Mirror symmetry (algebro-geometric aspects) (14J33) Dimensional compactification in quantum field theory (81T33)

Related Items (2)

Relationship between two Calabi-Yau orbifolds arising as hyper-surfaces in a quotient of the same weighted projective space ⋮ Periods of the multiple Berglund-Hübsch-Krawitz mirrors

Cites Work

• Sphere partition functions and the Zamolodchikov metric
• Exact Kähler potential from gauge theory and mirror symmetry
• Exact results in \(D = 2\) supersymmetric gauge theories
• A generalized construction of mirror manifolds
• Moduli space of Calabi-Yau manifolds
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Special geometry on the moduli space for the two-moduli non-Fermat Calabi-Yau
• Special geometry on the 101 dimensional moduli space of the quintic threefold
• Mirror symmetry for Calabi-Yau hypersurfaces in weighted \(\mathbb{P}_4\) and extensions of Landau-Ginzburg theory
• Partition functions of \(\mathcal{N}=(2,2)\) supersymmetric sigma models and special geometry on the moduli spaces of Calabi-Yau manifolds
• Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
• Partition functions of \(\mathcal N=(2,2)\) gauge theories on \(S^2\) and vortices
• Derived categories of BHK mirrors
• Phases of \(N=2\) theories in two dimensions
• Two-sphere partition functions and Gromov-Witten invariants
• Vortex partition functions, wall crossing and equivariant Gromov-Witten invariants
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• A new approach for computing the geometry of the moduli spaces for a Calabi–Yau manifold
• JKLMR conjecture and Batyrev construction
• Periods for Calabi-Yau and Landau-Ginzburg vacua

This page was built for publication: Coincidences between Calabi-Yau manifolds of Berglund-Hübsch type and Batyrev polytopes