This investigation reveals non-invertible selection rules influencing couplings in heterotic string theory, suggesting significant implications for string theory models.
A bstract We investigate coupling selection rules in heterotic string theory on non-Abelian orbifolds. Since boundary conditions on the orbifolds are classified by conjugacy classes of space group elements, non-Abelian orbifolds give rise to non-invertible selection rules on couplings among twisted sectors as well as ones including untwisted sectors. Furthermore, we find that non-invertible selection rules lead to characteristic patterns of Yukawa matrices.
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Kobayashi et al. (2026) studied this question.
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