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 the hypothesis 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 Hopf–Wess–Zumino term with a twisted homotopy Whitehead integral formula, which we establish.
Original language | English (US) |
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Pages (from-to) | 403-432 |
Number of pages | 30 |
Journal | Communications In Mathematical Physics |
Volume | 384 |
Issue number | 1 |
DOIs | |
State | Published - May 2021 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics