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The algebra of anomaly interplay

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arxiv 2011.10102 v3 pith:G7RRNONE submitted 2020-11-19 hep-th hep-ph

Joe Davighi , Nakarin Lohitsiri This is my paper · ORCID
classification hep-thhep-ph
keywords interplayanomaliesanomalygloballocalalgebrabordismbordism-based
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We give a general description of the interplay that can occur between local and global anomalies, in terms of (co)bordism. Mathematically, such an interplay is encoded in the non-canonical splitting of short exact sequences known to classify invertible field theories. We study various examples of the phenomenon in 2, 4, and 6 dimensions. We also describe how this understanding of anomaly interplay provides a rigorous bordism-based version of an old method for calculating global anomalies (starting from local anomalies in a related theory) due to Elitzur and Nair.

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  1. Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$

    hep-th 2024-11 accept novelty 6.0 of 10

    Mod-2 global anomalies of 8d Sp(n) gauge theory can be canceled by a B-field Green-Schwarz mechanism, but the 4d SU(2) Witten anomaly cannot.

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