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<p>An algorithm has been proposed to construct orbifolds of Calabi–Yau manifolds of the Berglund–Hubsch type. This approach has allowed us to obtain all mirror pairs for Calabi–Yau manifolds of this type. As an example, all orbifolds and their mirror pairs have been found for one of the Fermat models. The number of quark and lepton generations, as well as the number of particle types involved only in the gravitational interaction, i.e., dark matter particles, has also been determined for each orbifold.</p>

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Construction of Mirror Pairs of Calabi–Yau Orbifolds of the Berglund–Hubsch Type

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月1日

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  • S. S. Aleshin,
  • A. A. Belavin

摘要

An algorithm has been proposed to construct orbifolds of Calabi–Yau manifolds of the Berglund–Hubsch type. This approach has allowed us to obtain all mirror pairs for Calabi–Yau manifolds of this type. As an example, all orbifolds and their mirror pairs have been found for one of the Fermat models. The number of quark and lepton generations, as well as the number of particle types involved only in the gravitational interaction, i.e., dark matter particles, has also been determined for each orbifold.