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The WZW term of the M5-brane and differential cohomotopy
Published 24 Jun 2015 in math-ph, hep-th, math.AT, and math.MP | (1506.07557v1)
Abstract: We combine rational homotopy theory and higher Lie theory to describe the 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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