4.6 Article

The Moonshine Anomaly

期刊

COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 365, 期 3, 页码 943-970

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SPRINGER
DOI: 10.1007/s00220-019-03300-2

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  1. Government of Canada through Department of Innovation, Science and Economic Development Canada
  2. Province of Ontario through Ministry of Research, Innovation and Science

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The anomaly for the Monster group M acting on its natural (aka moonshine) representation V? is a particular cohomology class ?H3(M,U(1)) that arises as a conformal field theoretic generalization of the second Chern class of a representation. This paper shows that ? has order exactly 24 and is not a Chern class. In order to perform this computation, this paper introduces a finite-group version of T-duality, which is used to relate ? to the anomaly for the Leech lattice CFT.

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