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2-Group Symmetries and M-Theory

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arxiv 2203.10097 v2 pith:GIHJEAP7 submitted 2022-03-18 hep-th

2-Group Symmetries and M-Theory

classification hep-th
keywords m-theorygroupformmethodsresultssymmetriestheoriesarising
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum Field Theories engineered in M-theory can have 2-group symmetries, mixing 0-form and 1-form symmetry backgrounds in non-trivial ways. In this paper we develop methods for determining the 2-group structure from the boundary geometry of the M-theory background. We illustrate these methods in the case of 5d theories arising from M-theory on ordinary and generalised toric Calabi-Yau cones, including cases in which the resulting theory is non-Lagrangian. Our results confirm and elucidate previous results on 2-groups from geometric engineering.

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Cited by 6 Pith papers

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

  1. Generalised global symmetries in 5d $\mathcal{N}=1$ theories from the blow-up equations

    hep-th 2026-07 accept novelty 7.0

    Fractional exponents of the blow-up prefactor exp(-V_n) on 1-form backgrounds encode cubic and mixed anomalies of 5d N=1 SCFTs, deciding 2-groups versus mixed anomalies once the faithful UV symmetry is known from the index.

  2. 2-Group global symmetry in the compactified M2-brane

    hep-th 2026-07 conditional novelty 6.5

    Wess–Zumino coupling of the compactified M2-brane forces its monopole 0-form and winding 1-form symmetries into a 2-group whose Postnikov class is the mixed quantized flux.

  3. Quiver Approach to Symmetry Theories

    hep-th 2026-05 unverdicted novelty 6.0

    An algebraic method using the path algebra of quivers extracts symmetry anomaly data for 5D SCFTs engineered from M-theory on Calabi-Yau cones.

  4. ICTP Lectures on (Non-)Invertible Generalized Symmetries

    hep-th 2023-05 accept novelty 2.0

    Lecture notes explain non-invertible generalized symmetries in QFTs as topological defects arising from stacking with TQFTs and gauging diagonal symmetries, plus their action on charges and the SymTFT framework.

  5. 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.

  6. 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.