2-Group Symmetries and M-Theory

Abstract

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.

27 pages

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• Subsystem Non-Invertible Symmetry Operators and Defects
• Anomalies of Generalized Symmetries from Solitonic Defects
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• Disconnected 0-Form and 2-Group Symmetries
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Orbifolds by 2-groups and decomposition
• A fresh view on string orbifolds
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