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The global anomalies of (2,0) superconformal field theories in six dimensions

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arxiv 1406.4540 v2 pith:MWSLQFB7 submitted 2014-06-17 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords theoriesanomalyglobalanomaliesdimensionsfieldsuperconformalterms
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We compute the global gauge and gravitational anomalies of the A-type (2,0) superconformal quantum field theories in six dimensions, and conjecture a formula valid for the D- and E-type theories. We show that the anomaly contains terms that do not contribute to the local anomaly but that are crucial for the consistency of the global anomaly. A side result is an intuitive picture for the appearance of Hopf-Wess-Zumino terms on the Coulomb branch of the (2,0) theories.

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Cited by 1 Pith paper

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  1. Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism

    hep-th 2025-01 conditional novelty 7.0 of 10

    M5 bordism classifies the invertible phases of 6d (2,0) anomaly theories, and the Hopf-Wess-Zumino term is the phase that transgresses to the second Pontryagin class.

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