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Anomaly-safe discrete groups

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arxiv 1504.03470 v1 pith:ELKDW5KX submitted 2015-04-14 hep-ph hep-th

classification hep-phhep-th
keywords groupsanomaliesfiniteallowanomaly-freeanomaly-safecannotclass
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We show that there is a class of finite groups, the so-called perfect groups, which cannot exhibit anomalies. This implies that all non-Abelian finite simple groups are anomaly-free. On the other hand, non-perfect groups generically suffer from anomalies. We present two different ways that allow one to understand these statements.

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Cited by 3 Pith papers

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

  1. On discrete gauging and non-invertible selection rules

    hep-th 2025-07 conditional novelty 6.0 of 10

    Fields labeled by conjugacy classes of Z3- and S3-gauged finite groups obey non-invertible fusion selection rules with residual automorphism symmetries.

  2. Modular Flavor Symmetries and Fermion Mass Hierarchies

    hep-ph 2025-06 conditional novelty 6.0 of 10

    In modular flavor models, fermion mass hierarchies require the modulus to sit near the critical points i, i∞, or ω; the paper classifies the near-critical mass patterns for reducible 2⊕1 matter assignments.

  3. Quantum aspects of non-invertible flavor symmetries in intersecting/magnetized D-brane models

    hep-th 2024-12 conditional novelty 6.0 of 10

    In magnetized and intersecting D-brane models on T^2/Z2, the D4 symmetry from a non-invertible flavor symmetry survives loop corrections and instanton-generated n-point couplings for even fluxes with trivial Scherk-Sc...

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