We combine rational homotopy theory and higher Lie theory to describe the Wess-Zumino-Witten (WZW) term in the M5-brane sigma model. We observe that this term admits a natural interpretation as a twisted 7-cocycle on super-Minkowski spacetime with coefficients in the rational 4-sphere. This exhibits the WZW term as an element in twisted cohomology, with the twist given by the cocycle of the M2-brane. We consider integration of this rational situation to differential cohomology and differential cohomotopy.
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Research Article| October 12 2015
The Wess-Zumino-Witten term of the M5-brane and differential cohomotopy
D. Fiorenza ;
D. Fiorenza, H. Sati, U. Schreiber; The Wess-Zumino-Witten term of the M5-brane and differential cohomotopy. J. Math. Phys. 1 October 2015; 56 (10): 102301. https://doi.org/10.1063/1.4932618
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