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

D. Fiorenza; H. Sati; U. Schreiber

doi:10.1063/1.4932618

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

D. Fiorenza, H. Sati, U. Schreiber

Mathematics

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Abstract

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 language	English (US)
Article number	102301
Journal	Journal of Mathematical Physics
Volume	56
Issue number	10
DOIs	https://doi.org/10.1063/1.4932618
State	Published - Oct 2015

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4932618

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

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