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Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds

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arxiv 1904.10207 v4 pith:5RA2WXIJ submitted 2019-04-23 hep-th math-phmath.ATmath.DGmath.MP

Domenico Fiorenza , Hisham Sati , Urs Schreiber This is my paper
classification hep-thmath-phmath.ATmath.DGmath.MP
keywords c-fieldcancellationanomalycohomotopyfluxm-theorytheoryimplies
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We consider the hypothesis that the C-field 4-flux and 7-flux forms in M-theory are in the image of the non-abelian Chern character map from the non-abelian generalized cohomology theory called J-twisted Cohomotopy theory. We prove for M2-brane backgrounds in M-theory on 8-manifolds that such charge quantization of the C-field in Cohomotopy theory implies a list of expected anomaly cancellation conditions, including: shifted C-field flux quantization and C-field tadpole cancellation, but also the DMW anomaly cancellation and the C-field's integral equation of motion.

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