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Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics
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Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics
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We study higher-form global symmetries and a higher-group structure of a low-energy limit of $(3+1)$-dimensional axion electrodynamics in a gapped phase described by a topological action. We argue that the higher-form symmetries should have a semi-strict 4-group (3-crossed module) structure by consistency conditions of couplings of the topological action to background gauge fields for the higher-form symmetries. We find possible 't Hooft anomalies for the 4-group global symmetry, and discuss physical consequences.
Forward citations
Cited by 3 Pith papers
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3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics
The five-dimensional topological axion electrodynamics is shown to possess a 3-crossed module structure through modified Stueckelberg couplings required for background gauge invariance.
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Non-invertible symmetries in the axiverse, and the imaginary wormholes
Identifies invertible and non-invertible generalized symmetries in axiverse EFTs and argues that wormholes break non-invertible axion symmetries via the Imaginary Distance Bound, implying a distinguished role for towe...
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Lectures on Generalized Symmetries
Lecture notes that systematically introduce higher-form symmetries, SymTFTs, higher-group symmetries, and related concepts in QFT using gauge theory examples.
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