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2-Group Symmetries and their Classification in 6d

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arxiv 2110.14647 v2 pith:VOZQLAIX submitted 2021-10-27 hep-th

Fabio Apruzzi , Lakshya Bhardwaj , Dewi S.W. Gould , Sakura Schafer-Nameki This is my paper · ORCID
classification hep-th
keywords symmetriesgroupformdimensiondiscretefieldincludespecific
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We uncover 2-group symmetries in 6d superconformal field theories. These symmetries arise when the discrete 1-form symmetry and continuous flavor symmetry group of a theory mix with each other. We classify all 6d superconformal field theories with such 2-group symmetries. The approach taken in 6d is applicable more generally, with minor modifications to include dimension specific operators (such as instantons in 5d and monopoles in 3d), and we provide a discussion of the dimension-independent aspects of the analysis. We include an ancillary mathematica code for computing 2-group symmetries, once the dimension specific input is provided. We also discuss a mixed 't Hooft anomaly between discrete 0-form and 1-form symmetries in 6d.

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Cited by 4 Pith papers

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

  1. SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory

    hep-th 2024-12 conditional novelty 7.0 of 10

    The 7d SymTFT for 6d (2,0) D_N SCFTs is derived from M-theory on AdS7 × RP4, including the outer-automorphism Z2 sector, and is used to derive non-invertible symmetries and anomaly polynomials.

  2. Non-Invertible Symmetries in 6d from Green-Schwarz Automorphisms

    hep-th 2024-11 conditional novelty 7.0 of 10

    Non-invertible S3-ality defects are constructed in the 6d (2,0) so(8) SCFT, with fusion rules computed by half-space gauging and SymTFT.

  3. Symmetry, Symmetry Topological Field Theory and von Neumann Algebra

    hep-th 2025-07 conditional novelty 6.0 of 10

    The symmetric-sector von Neumann algebra of a QFT violates additivity or Haag duality exactly when the Lagrangian algebra of its SymTFT contains operators beyond the identity, with a sharper criterion distinguishing t...

  4. The Higher Structure of Symmetries of Axion-Maxwell Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    The paper determines the fusion interfaces and F-symbols for the non-invertible electric 1-form symmetry of 4d axion-Maxwell theory.

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