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Periods of the multiple Berglund-Huebsch-Krawitz mirrors

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arxiv 2012.03320 v2 pith:MZO7G6GH submitted 2020-12-06 hep-th math-phmath.MP

Alexander Belavin , Vladimir Belavin , Gleb Koshevoy This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords calabi--yaumirrormirrorsmultiplepairperiodsappearsberglund-h
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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.

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Cited by 2 Pith papers

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  1. The complete massless singlet spectrum in the free-field construction of heterotic strings on Calabi--Yau orbifolds

    hep-th 2026-07 conditional novelty 6.0 of 10

    The massless E6 singlet spectra of Fermat-type Calabi–Yau orbifolds are determined by Shapovalov ranks, yielding 330 singlets for the quintic and new counts 210 and 258 for two orbifolds.

  2. Ricci-Flat Mirror Hypersurfaces in Spaces of General Type

    hep-th 2025-01 conditional novelty 5.0 of 10

    Laurent-polynomial anticanonical sections can smooth Calabi-Yau hypersurfaces in general-type toric/torus manifolds and yield transposition mirrors with computable GLSM data.

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