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Twisted Cohomotopy implies M5-brane anomaly cancellation

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arxiv 2002.07737 v2 pith:EOWSKVJS submitted 2020-02-18 hep-th math-phmath.ATmath.DGmath.MP

classification hep-thmath-phmath.ATmath.DGmath.MP
keywords anomalycancellationcohomotopym5-branesubtletyargumentassociatedc-field
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We highlight what seems to be a remaining subtlety in the argument for the cancellation of the total anomaly associated with the M5-brane in M-theory. Then we prove that this subtlety is resolved under the hypothesis that the C-field flux is charge-quantized in the generalized cohomology theory called J-twisted Cohomotopy.

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  1. Anyons on M5-Probes of Seifert 3-Orbifolds via Flux Quantization

    hep-th 2024-11 conditional novelty 4.0 of 10

    Choosing equivariant twistorial Cohomotopy as the flux quantization law on single M5-probes wrapped on a Z2-orbifold yields abelian anyonic quantum states on the orbifold fixed locus.

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