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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pdf (typos fixed)
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.
Errata
Based on
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
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
Followups (Hypothesis H)
Equivariant Cohomotopy implies orientifold tadpole cancellation
Differential Cohomotopy implies intersecting brane observables
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted Cohomotopy implies twisted String structure on M5-branes
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Last revised on January 30, 2024 at 10:31:00. See the history of this page for a list of all contributions to it.