A generalized construction of Calabi-Yau models and mirror symmetry

Academic Article


  • We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, requiring the use of certain Laurent defining polynomials, and explore the phases of the corresponding gauged linear sigma models. The associated non-reflexive and non-convex polytopes provide a generalization of Batyrev’s original work, allowing us to construct novel pairs of mirror models. We showcase our proposal for this generalization by examining Calabi-Yau hypersurfaces in Hirzebruch n-folds, focusing on n=3,4 sequences, and outline the more general class of so-defined geometries.
  • Authors

  • Berglund, Per
  • Hubsch, Tristan
  • Status

    Publication Date

  • February 2018
  • Published In

  • SciPost Phys.  Journal
  • Keywords

  • hep-th
  • Digital Object Identifier (doi)

    Start Page

  • 009
  • Volume

  • 4
  • Issue

  • 2