Twisted cohomotopy implies level quantization of the full 6d Wess-Zumino term of the M5-brane
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Publication:2025633
DOI10.1007/S00220-021-03951-0zbMATH Open1464.81046arXiv1906.07417OpenAlexW3156734735MaRDI QIDQ2025633
Author name not available (Why is that?)
Publication date: 14 May 2021
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1906.07417
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