Coupling Selection Rules in Heterotic Calabi-Yau Compactifications

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

Published: 2025/4/14

Abstract

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 $h^{1,1}\leq 5$. It is found that all of these selection rules for $h^{1,1}\leq 5$ are understood by combinations of only five types of fusion rules.

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