The Wess-Zumino-Witten term of the M5-brane and differential cohomotopy

D. Fiorenza, H. Sati, U. Schreiber

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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.

Original languageEnglish (US)
Article number102301
JournalJournal of Mathematical Physics
Issue number10
StatePublished - Oct 2015

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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