Twisted Cohomotopy Implies M-Theory Anomaly Cancellation on 8-Manifolds

Domenico Fiorenza, Hisham Sati, Urs Schreiber

Research output: Contribution to journalArticlepeer-review


We consider the hypothesis that the C-field 4-flux and 7-flux forms in M-theory are in the image of the non-abelian Chern character map from the non-abelian generalized cohomology theory called J-twisted Cohomotopy theory. We prove for M2-brane backgrounds in M-theory on 8-manifolds that such charge quantization of the C-field in Cohomotopy theory implies a list of expected anomaly cancellation conditions, including: shifted C-field flux quantization and C-field tadpole cancellation, but also the DMW anomaly cancellation and the C-field’s integral equation of motion.

Original languageEnglish (US)
Pages (from-to)1961-2025
Number of pages65
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Aug 1 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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