Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2020
- DOI:
- 10.48550/arXiv.2008.08544
- arXiv:
- arXiv:2008.08544
- Bibcode:
- 2020arXiv200808544F
- Keywords:
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- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Algebraic Topology;
- Mathematics - Differential Geometry;
- Mathematics - Geometric Topology
- E-Print:
- 30 pages