On 2-group global symmetries and their anomalies
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Publication:2421124
DOI10.1007/JHEP03(2019)118zbMATH Open1414.81223arXiv1803.09336OpenAlexW3106410127WikidataQ128149941 ScholiaQ128149941MaRDI QIDQ2421124
Author name not available (Why is that?)
Publication date: 8 June 2019
Published in: (Search for Journal in Brave)
Abstract: In general quantum field theories (QFTs), ordinary (0-form) global symmetries and 1-form symmetries can combine into 2-group global symmetries. We describe this phenomenon in detail using the language of symmetry defects. We exhibit a simple procedure to determine the (possible) 2-group global symmetry of a given QFT, and provide a classification of the related 't Hooft anomalies (for symmetries not acting on spacetime). We also describe how QFTs can be coupled to extrinsic backgrounds for symmetry groups that differ from the intrinsic symmetry acting faithfully on the theory. Finally, we provide a variety of examples, ranging from TQFTs (gapped systems) to gapless QFTs. Along the way, we stress that the "obstruction to symmetry fractionalization" discussed in some condensed matter literature is really an instance of 2-group global symmetry.
Full work available at URL: https://arxiv.org/abs/1803.09336
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