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Twisted Cohomotopy implies M5 WZ term level quantization

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Abstract. The full 6d 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.


Based on



Followups (Hypothesis H)



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