Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation
High Energy Physics - Theory
2022-06-13 v3 Mathematical Physics
Algebraic Topology
Differential Geometry
Geometric Topology
math.MP
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.
Keywords
Cite
@article{arxiv.2008.08544,
title = {Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation},
author = {Domenico Fiorenza and Hisham Sati and Urs Schreiber},
journal= {arXiv preprint arXiv:2008.08544},
year = {2022}
}
Comments
30 pages; v2: exposition of real homotopy theory slightly expanded, final version published in RMP