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Generalised Symmetries in Particle Physics

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arxiv 2504.05960 v1 pith:YT6F23QW submitted 2025-04-08 hep-ph hep-th

classification hep-phhep-th
keywords generalisednotionsparticlephysicssymmetriessymmetryvariousapplications
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In this talk I review various notions of generalised global symmetry: higher-form, higher-group, and non-invertible symmetry. All these notions have had profound impact on quantum field theory research in the last decade. I highlight various applications of these new symmetries in particle physics, focussing on theories beyond the Standard Model. Areas touched upon include axions, gauge unification, dark matter, neutrino masses, and flavour hierarchies.

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  1. ADE triality via (non-)invertible symmetry gauging

    hep-th 2025-06 conditional novelty 6.0 of 10

    Gauging a non-invertible symmetry exchanges the D7 and E6 minimal models, completing the ADE triality.

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