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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

T. Pantev , D. Robbins , E. Sharpe , T. Vandermeulen This is my paper · ORCID
classification hep-th
keywords orbifoldsgroupssymmetrytheoriesthree-dimensionalconstructiondecomposedecomposition
verification ladder T0 review T1 audit T2 compute T3 formal
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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. Full citation record

  1. Notes on (-2)-form symmetries

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    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. SymTFT actions, Condensable algebras and Categorical anomaly resolutions

    hep-th 2025-09 conditional novelty 6.0 of 10

    For Q8 and Rep(Q8), the paper computes condensable algebras, identifies intrinsically gapless SPT phases, and derives fusion-category short exact sequences that resolve categorical anomalies.

  3. (-1)-form symmetries from M-theory and SymTFTs

    hep-th 2024-11 conditional novelty 6.0 of 10

    A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.

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