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2-Group Symmetries in Class S

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arxiv 2107.06816 v1 pith:PGG22RGX submitted 2021-07-14 hep-th

classification hep-th
keywords symmetriesclassgroupclassescompactifyingdefectsequivalenceflavor
verification ladder T0 review T1 audit T2 compute T3 formal
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2-group symmetries are generalized symmetries that arise when 1-form and 0-form symmetries mix with each other. We uncover the existence of a class of 2-group symmetries in general 4d N=2 theories of Class S that can be constructed by compactifying 6d N=(2,0) SCFTs on Riemann surfaces carrying arbitrary regular punctures and outer-automorphism twist lines. The 2-group structure can be captured in terms of equivalence classes of line defects plus flavor Wilson lines, which can be thought of as accounting for screening of line defects while keeping track of flavor charges. We describe a method for computing these equivalence classes for a general Class S theory using the data on the Riemman surface used for compactifying its parent 6d N=(2,0) theory.

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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. Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism

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    For G=(Z2,Z2,triv,1), the authors classify anomalies via oriented and spin bordism in spacetime dimensions d<=5 and derive the (3+1)D SymTFT boundary conditions, including the equivalence of the anomalous symmetry cat...

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    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...

  3. Holography and discrete theta angles for disconnected gauge groups

    hep-th 2024-12 conditional novelty 6.0 of 10

    The paper derives missing torsion terms in the holographic symmetry TFT for so(2n) N=4 SYM and matches its gapped boundary conditions to the global forms and discrete theta angles of disconnected orthogonal gauge theories.

  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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