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Periods of the multiple Berglund-Huebsch-Krawitz mirrors

High Energy Physics - Theory 2021-07-28 v2 Mathematical Physics math.MP

Abstract

We consider the multiple Calaby-Yau (CY) mirror phenomenon which appears in Berglund-H\"ubsch-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.

Keywords

Cite

@article{arxiv.2012.03320,
  title  = {Periods of the multiple Berglund-Huebsch-Krawitz mirrors},
  author = {Alexander Belavin and Vladimir Belavin and Gleb Koshevoy},
  journal= {arXiv preprint arXiv:2012.03320},
  year   = {2021}
}

Comments

Some important changes of the content and title, typos fixed