Twisted Cohomotopy implies M5-brane anomaly cancellation

Abstract

We highlight what seems to be a remaining subtlety in the argument for the cancellation of the total anomaly associated with the M5-brane in M-theory. Then we prove that this subtlety is resolved under the hypothesis that the C-field flux is charge-quantized in the generalized cohomology theory called J-twisted Cohomotopy.

arXiv comment20 pages; v1: this is a revised version of Sections 2.5 and 4.5 in v1 of arXiv:1904.10207, which do not appear in the final version there; v2: main section 3 considerably expanded, analogous argument in Sec. 4.1 of arXiv:1910.04166 pointed out, appendix with supplementary proofs added

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Cited by in corpus (9)

• Twisted Cohomotopy implies twisted String structure on M5-branes
• Dimensional Reduction of Cobordism and K-theory
• M/F-Theory as Mf-Theory
• Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation
• The character map in (twisted differential) non-abelian cohomology
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
• Fundamental weight systems are quantum states
• Metric-Connection Geometries on Pre-Leibniz Algebroids: A Search for Geometrical Structure in String Models
• Engineering of Anyons on M5-Probes via Flux Quantization