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

D. Fiorenza, Hisham Sati, U. Schreiber

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number102301
JournalJournal of Mathematical Physics
Volume56
Issue number10
DOIs
StatePublished - Jan 1 2015

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homology
Branes
homotopy theory
Cocycle
Cohomology
Term
Rational Homotopy Theory
Sigma Models
Twist
coefficients
Space-time
Coefficient

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

The Wess-Zumino-Witten term of the M5-brane and differential cohomotopy. / Fiorenza, D.; Sati, Hisham; Schreiber, U.

In: Journal of Mathematical Physics, Vol. 56, No. 10, 102301, 01.01.2015.

Research output: Contribution to journalArticle

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