Notes on generalized global symmetries in QFT
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Publication:2814264
DOI10.1002/PROP.201500048zbMATH Open1338.81269arXiv1508.04770OpenAlexW2106578818MaRDI QIDQ2814264
Author name not available (Why is that?)
Publication date: 20 June 2016
Published in: (Search for Journal in Brave)
Abstract: It was recently argued that quantum field theories possess one-form and higher-form symmetries, labelled `generalized global symmetries.' In this paper, we describe how those higher-form symmetries can be understood mathematically as special cases of more general 2-groups and higher groups, and discuss examples of quantum field theories admitting actions of more general higher groups than merely one-form and higher-form symmetries. We discuss analogues of topological defects for some of these higher symmetry groups, relating some of them to ordinary topological defects. We also discuss topological defects in cases in which the moduli `space' (technically, a stack) admits an action of a higher symmetry group. Finally, we outline a proposal for how certain anomalies might potentially be understood as describing a transmutation of an ordinary group symmetry of the classical theory into a 2-group or higher group symmetry of the quantum theory, which we link to WZW models and bosonization.
Full work available at URL: https://arxiv.org/abs/1508.04770
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