Periods of the multiple Berglund-Hübsch-Krawitz mirrors. (English) Zbl 1467.14098
Summary: 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.
MSC:
| 14J33 | Mirror symmetry (algebro-geometric aspects) |
| 14J32 | Calabi-Yau manifolds (algebro-geometric aspects) |
| 14J81 | Relationships between surfaces, higher-dimensional varieties, and physics |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T33 | Dimensional compactification in quantum field theory |
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