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The WZW term of the M5-brane and differential cohomotopy

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.

preprint2015arXivOpen access
Domenico FiorenzaHisham SatiUrs Schreiber
math.ATmath-phmath.MPhep-th
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Domenico FiorenzaHisham SatiUrs Schreiber

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