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Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation

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arxiv 2008.08544 v3 pith:2JXVV7QV submitted 2020-08-19 hep-th math-phmath.ATmath.DGmath.GTmath.MP

Domenico Fiorenza , Hisham Sati , Urs Schreiber This is my paper · ORCID
classification hep-thmath-phmath.ATmath.DGmath.GTmath.MP
keywords cohomologycohomotopygreen-schwarzheteroticm-theorytheoryanomalyborel-equivariantization
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We characterize the integral cohomology and the rational homotopy type of the maximal Borel-equivariantization of the combined Hopf/twistor fibration, and find that subtle relations satisfied by the cohomology generators are just those that govern Horava-Witten's proposal for the extension of the Green-Schwarz mechanism from heterotic string theory to heterotic M-theory. We discuss how this squares with the Hypothesis H that the elusive mathematical foundation of M-theory is based on charge quantization in J-twisted Cohomotopy theory.

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    Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.

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