Coupling Selection Rules in Heterotic Calabi-Yau Compactifications

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 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.

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