2008.08544Aug 19, 202030 pages; v2: exposition of real homotopy theory slightly expanded, final version published in RMP

Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation

Domenico Fiorenza, Hisham Sati, Urs Schreiber

Theory Mathematical Physics Algebraic Topology Differential Geometry Geometric Topology

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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.

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