Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds

Tatsuo Kobayashi; Ryusei Nishida; Hajime Otsuka

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arXiv · 2509.10019

Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds

Tatsuo Kobayashi·Ryusei Nishida·Hajime Otsuka

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Abstract

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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Tatsuo Kobayashi, Ryusei Nishida, Hajime Otsuka. 2025-09-12. Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds. https://arxiv.org/abs/2509.10019

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