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<p>We study coupling selection rules of chiral matter fields in heterotic string theory with standard embedding. These selection rules are determined by topological properties of Calabi-Yau threefolds. We classify coupling selection rules on complete intersection Calabi-Yau threefolds for <i>h</i><sup>1,1</sup> ≤ 5. It is found that all of these selection rules for <i>h</i><sup>1,1</sup> ≤ 5 are understood by combinations of only five types of fusion rules.</p>

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Coupling selection rules in heterotic Calabi-Yau compactifications

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月1日

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  • Jun Dong,
  • Tatsuo Kobayashi,
  • Ryusei Nishida,
  • Satsuki Nishimura,
  • Hajime Otsuka

摘要

We study coupling selection rules of chiral matter fields in heterotic string theory with standard embedding. These selection rules are determined by topological properties of Calabi-Yau threefolds. We classify coupling selection rules on complete intersection Calabi-Yau threefolds for h1,1 ≤ 5. It is found that all of these selection rules for h1,1 ≤ 5 are understood by combinations of only five types of fusion rules.