Schreiber Twisted Cohomotopy implies M5 WZ term level quantization

An article that we have written:

Abstract. The full 6d Hopf-Wess-Zumino-term in the action functional for the M5-brane is anomalous as traditionally defined. What has been missing is a condition implying the higher analogue of level quantization familiar from the 2d Wess-Zumino term. We prove that the anomaly cancellation condition is implied by “Hypothesis H”: the proposal that the C-field is charge-quantized in twisted Cohomotopy theory. The proof follows by a twisted/parametrized generalization of the Hopf invariant, after identifying the full 6d Wess-Zumino-term with a twisted homotopy Whitehead integral formula, which we establish.


  • In equation (51) here the second “G 4G_4” needs to be a “G 7G_7”.

Based on

Followups (Hypothesis H)

Last revised on January 30, 2024 at 10:31:00. See the history of this page for a list of all contributions to it.