Twistorial cohomotopy implies Green-Schwarz anomaly cancellation

被引：6

作者：

Fiorenza, Domenico ^{[1
]}

Sati, Hisham ^{[2
,3
]}

Schreiber, Urs ^{[2
,3
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Matemat, Piazzale Aldo Moro 2, I-00185 Rome, Italy

[2] New York Univ Abu Dhabi, Div Sci, NYUAD Res Inst, Math, Abu Dhabi, U Arab Emirates

[3] New York Univ Abu Dhabi, Ctr Quantum & Topol Syst CQTS, NYUAD Res Inst, Abu Dhabi, U Arab Emirates

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2022年 / 34卷 / 05期

关键词：

M-theory; rational homotopy theory; generalized cohomology; twistor fibration; HETEROTIC STRING THEORY; DIVISION-ALGEBRAS; FLUX-QUANTIZATION; HOMOTOPY-THEORY; T-DUALITY; SUPERGRAVITY; BUNDLES; SPACE; SUPERSYMMETRY; DYNAMICS;

D O I：

10.1142/S0129055X22500131

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 tangentially twisted unstable Cohomotopy theory.

引用

页数：42

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