Periods of the multiple Berglund–Hübsch–Krawitz mirrors

Alexander Belavin, Vladimir Belavin, Gleb Koshevoy

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We consider the multiple Calabi–Yau 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 threefolds in the same weighted projective space the periods of the holomorphic nonvanishing form coincide.

Original languageEnglish
Article number93
JournalLetters in Mathematical Physics
Volume111
Issue number4
DOIs
StatePublished - Aug 2021

Keywords

  • Calabi-Yau manifolds
  • Compactification
  • Mirror symmetry

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