Twistorial cohomotopy implies Green-Schwarz anomaly cancellation

Domenico Fiorenza; Hisham Sati; Urs Schreiber

doi:10.1142/S0129055X22500131

Twistorial cohomotopy implies Green-Schwarz anomaly cancellation

Domenico Fiorenza, Hisham Sati, Urs Schreiber

Mathematics

Research output: Contribution to journal › Article › peer-review

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 Hořava-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 tangentially twisted unstable Cohomotopy theory.

Original language	English (US)
Article number	2250013
Journal	Reviews in Mathematical Physics
Volume	34
Issue number	5
DOIs	https://doi.org/10.1142/S0129055X22500131
State	Published - Jun 1 2022

Keywords

M-theory
generalized cohomology
rational homotopy theory
twistor fibration

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1142/S0129055X22500131

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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 Ho{\v r}ava-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 tangentially twisted unstable Cohomotopy theory.",

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AU - Sati, Hisham

AU - Schreiber, Urs

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N2 - 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 Hořava-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 tangentially twisted unstable Cohomotopy theory.

AB - 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 Hořava-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 tangentially twisted unstable Cohomotopy theory.

KW - M-theory

KW - generalized cohomology

KW - rational homotopy theory

KW - twistor fibration

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Twistorial cohomotopy implies Green-Schwarz anomaly cancellation

Abstract

Keywords

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