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Orbifolds by 2-groups and decomposition

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arxiv 2204.13708 v2 pith:WQSSTU5B submitted 2022-04-28 hep-th

Orbifolds by 2-groups and decomposition

classification hep-th
keywords orbifoldsgroupssymmetrytheoriesthree-dimensionalconstructiondecomposedecomposition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we study three-dimensional orbifolds by 2-groups with a trivially-acting one-form symmetry group BK. These orbifolds have a global two-form symmetry, and so one expects that they decompose into (are equivalent to) a disjoint union of other three-dimensional theories, which we demonstrate. These theories can be interpreted as sigma models on 2-gerbes, whose formal structures reflect properties of the orbifold construction.

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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. Notes on (-2)-form symmetries

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    Introduces (-2)-form symmetries that modify the SymTFT action to relate QFTs differing by anomaly data or non-invertible symmetry associators, illustrated in 2D-4D models, fusion categories, club-sandwich RG flows, an...

  2. Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

    hep-th 2022-05 unverdicted novelty 2.0

    This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.

  3. Lectures on Generalized Symmetries

    hep-th 2023-07 unverdicted novelty 1.0

    Lecture notes that systematically introduce higher-form symmetries, SymTFTs, higher-group symmetries, and related concepts in QFT using gauge theory examples.