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Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds

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arxiv 2509.10019 v1 pith:J3RIRXIX submitted 2025-09-12 hep-th hep-ph

Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds

classification hep-th hep-ph
keywords orbifoldsrulesselectionnon-abeliannon-invertibleheteroticsectorsboundary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A General Prescription for Spurion Analysis of Non-Invertible Selection Rules

    hep-ph 2026-04 unverdicted novelty 7.0

    A general prescription is formulated for spurion analysis of commutative non-invertible fusion algebras in particle physics, unifying prior specific cases and enabling systematic tracking of coupling constants in tree...

  2. More about modular symmetries and non-invertible properties in magnetized compactifications

    hep-th 2026-05 unverdicted novelty 5.0

    Incomplete zero-mode multiplets under Scherk-Schwarz phases in magnetized compactifications violate modular symmetry as a group but retain control over couplings via full modular forms.

  3. Dynamical CP Violation from Non-Invertible Selection Rules

    hep-ph 2026-04 unverdicted novelty 5.0

    Dynamical generation of leptonic CP violation and light sterile neutrino masses via radiative breaking of non-invertible selection rules, illustrated in the Inverse Seesaw model.