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.

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

References in corpus (17)

• An $\infty$-categorical approach to $R$-line bundles, $R$-module Thom spectra, and twisted $R$-homology
• Equivariant Cohomotopy implies orientifold tadpole cancellation
• The M-theory 3-form and E8 gauge theory
• The Rational Higher Structure of M-theory
• Twisted Cohomotopy implies twisted String structure on M5-branes
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Twisted Cohomotopy implies M5-brane anomaly cancellation
• Super-exceptional embedding construction of the heterotic M5: Emergence of SU(2)-flavor sector
• Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5
• The Early Years of String Theory: A Personal Perspective
• Two-Component Spinorial Formalism using Quaternions for Six-dimensional Spacetimes
• Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
• Higher order terms in an improved heterotic M theory
• Proper Orbifold Cohomology
• Heterotic $M$-Theory Hidden Sectors with an Anomalous $U(1)$ Gauge Symmetry
• Moduli and Hidden Matter in Heterotic M-Theory with an Anomalous $U(1)$ Hidden Sector
• Anomaly Cancellation and Modularity. II: $E_8\times E_8$ case

Cited by in corpus (18)

• Twisted Cohomotopy implies M5-brane anomaly cancellation
• 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
• Flux Quantization
• Flux Quantization on M5-branes
• Flux Quantization on 11-dimensional Superspace
• 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