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Remarks on the locality of generalized global symmetries

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arxiv 2504.05626 v1 pith:FZRDDSAP submitted 2025-04-08 math-ph hep-thmath.ATmath.MP

classification math-phhep-thmath.ATmath.MP
keywords symmetriesgeneralizedgeneralizationgloballocalityaimedalgebrasanomalies
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We examine generalized global symmetries as a kind of compactly supported cohomology, and so are led to revisit questions about the locality of quantum field theory, following Segal. Physics naturally suggests a generalization of factorization algebras, aimed at capturing nonperturbative information, and we explain how higher group symmetries offer examples of this generalization, providing an extension of the nonabelian Poincar\'e duality of Salvatore and Lurie. Finally, we explore how continuous generalized symmetries and anomalies can be cast in this framework.

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Cited by 2 Pith papers

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  1. Fractional Quantum Hall Anyons via the Algebraic Topology of Exotic Flux Quanta

    cond-mat.mes-hall 2025-05 conditional novelty 6.0 of 10

    Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.

  2. Adjoint L-Infinity Actions and Conserved Charges in GR

    math-ph 2025-12 reject novelty 4.0 of 10

    The authors recover the familiar Noether charge of Einstein-Cartan-Palatini gravity from an L-infinity algebra action and reproduce Schwarzchild entropy, but the entropy calculation contains an unaddressed divergence ...

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