Periods of the multiple Berglund–Hübsch–Krawitz mirrors

Alexander Belavin; Vladimir Belavin; Gleb Koshevoy

doi:10.1007/s11005-021-01439-5

Periods of the multiple Berglund–Hübsch–Krawitz mirrors

Alexander Belavin, Vladimir Belavin, Gleb Koshevoy

Department of Physics

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5 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 language	English
Article number	93
Journal	Letters in Mathematical Physics
Volume	111
Issue number	4
DOIs	https://doi.org/10.1007/s11005-021-01439-5
State	Published - Aug 2021

Keywords

Calabi-Yau manifolds
Compactification
Mirror symmetry

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10.1007/s11005-021-01439-5

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abstract = "We consider the multiple Calabi–Yau mirror phenomenon which appears in Berglund–H{\"u}bsch–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.",

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AB - 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.

KW - Calabi-Yau manifolds

KW - Compactification

KW - Mirror symmetry

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Periods of the multiple Berglund–Hübsch–Krawitz mirrors

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Keywords

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