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      The WZW term of the M5-brane and differential cohomotopy

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          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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          Author and article information

          Journal
          2015-06-24
          Article
          10.1063/1.4932618
          1506.07557
          5d552fef-f5a7-4344-981e-09391be810b1

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          J. Math. Phys. 56, 102301 (2015)
          12 pages
          math-ph hep-th math.AT math.MP

          Mathematical physics,High energy & Particle physics,Mathematical & Computational physics,Geometry & Topology

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