Periods of the multiple Berglund-Huebsch-Krawitz mirrors

Abstract

We consider the multiple Calaby-Yau (CY) mirror phenomenon which appears in Berglund-Hübsch-Krawitz (BHK) mirror symmetry. We show that for any pair of Calabi--Yau orbifolds that are BHK mirrors of a loop--chain type pair of Calabi--Yau manifolds in the same weighted projective space the periods of the holomorphic nonvanishing form coincide.

Some important changes of the content and title, typos fixed

References in corpus (2)

• FJRW rings and Landau-Ginzburg Mirror Symmetry
• On the equivalence of Batyrev and BHK Mirror symmetry constructions

Cited by in corpus (2)

• Explicit construction of $N=2$ SCFT orbifold models. Spectral flow and mutual locality
• Relationship between two Calabi--Yau orbifolds arising as hyper--surfaces in a quotient of the same weighted projective space