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.

arXiv comment30 pages; v2: exposition of real homotopy theory slightly expanded, final version published in RMP

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Cited by in corpus (18)

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• M/F-Theory as Mf-Theory
• The character map in (twisted differential) non-abelian cohomology
• Orbifolds by 2-groups and decomposition
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
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• Flux Quantization on Phase Space
• Cyclification of Orbifolds
• Anyons on M5-Probes of Seifert 3-Orbifolds via Flux Quantization
• Quantum Observables of Quantized Fluxes
• Proper Orbifold Cohomology
• Differential cohomology (encyclopedia article)
• Engineering of Anyons on M5-Probes via Flux Quantization
• Gauge potentials on the M5 brane in twisted equivariant cohomotopy
• Flux Quantization on M-Strings
• Extended Field Theories as higher Kaluza-Klein theories