Topological modular forms and the absence of a heterotic global anomaly

Abstract Spacetime theories obtained from perturbative string theory constructions are automatically free of perturbative anomalies, but it is not settled whether they are always free of global anomalies. Here we discuss a possible $\mathbb{Z}_{24}$-valued pure gravitational anomaly of heterotic com...

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Published inProgress of theoretical and experimental physics Vol. 2022; no. 4
Main Author Tachikawa, Yuji
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.04.2022
Subjects
Spacetime
String theory
B31
B24
A13
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ISSN2050-3911
2050-3911
DOI10.1093/ptep/ptab060

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Summary:Abstract Spacetime theories obtained from perturbative string theory constructions are automatically free of perturbative anomalies, but it is not settled whether they are always free of global anomalies. Here we discuss a possible $\mathbb{Z}_{24}$-valued pure gravitational anomaly of heterotic compactifications down to two spacetime dimensions, and point out that it can be shown to vanish using the theory of topological modular forms, assuming the validity of the Stolz–Teichner conjecture.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptab060