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September 5, 2025Open Access

Coupling selection rules in heterotic Calabi-Yau compactifications

Key Points

Coupling selection rules are derived from topological features of Calabi-Yau threefolds, revealing deep insights.
Five types of fusion rules account for all selection rules for h 1,1 ≤ 5, emphasizing their significance in theory.
Classification was performed for complete intersection Calabi-Yau threefolds, focusing specifically on lower dimensional cases.
Understanding these selection rules may advance knowledge in heterotic string theory, supporting future research directions.

Abstract

A bstract 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 h 1,1 ≤ 5. It is found that all of these selection rules for h 1,1 ≤ 5 are understood by combinations of only five types of fusion rules.

Coupling selection rules in heterotic Calabi-Yau compactifications

Key Points

Abstract

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