Periods of the multiple Berglund–Hübsch–Krawitz mirrors

Periods of the multiple Berglund–Hübsch–Krawitz mirrors

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 hol...

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Veröffentlicht in:Letters in mathematical physics 2021-08, Vol.111 (4), Article 93
Hauptverfasser: Belavin, Alexander, Belavin, Vladimir, Koshevoy, Gleb
Format: Artikel
Sprache:eng
Schlagworte:
Boris Dubrovin Memorial Issue
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung: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.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-021-01439-5