Schreiber Twisted Cohomotopy implies M5 WZ term level quantization

An article that we have written:

Domenico Fiorenza, Hisham Sati, Urs Schreiber:

Twisted Cohomotopy implies level quantization

of the full 6d Wess-Zumino-term of the M5-brane

Comm. Math. Phys. 384 403–432 (2021)

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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.

Based on

Domenico Fiorenza, Hisham Sati, Urs Schreiber:

Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds

arXiv:1904.10207

Domenico Fiorenza, Hisham Sati, Urs Schreiber:

The rational higher structure of M-theory

Proceedings of the LMS-EPSRC Durham Symposium:

Higher Structures in M-Theory, August 2018,

Fortschritte der Physik, 2019

doi:10.1002/prop.201910017

arXiv:1903.02834

Followups (Hypothesis H)

Last revised on October 31, 2021 at 13:09:53. See the history of this page for a list of all contributions to it.