On 2-group global symmetries and their anomalies View Full Text


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Article Info

DATE

2019-03

AUTHORS

Francesco Benini, Clay Córdova, Po-Shen Hsin

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. More... »

PAGES

118

References to SciGraph publications

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  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep03(2019)118

    DOI

    http://dx.doi.org/10.1007/jhep03(2019)118

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112965917


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