An article that we have written
Domenico Fiorenza, Hisham Sati, Urs Schreiber
The WZW term of the M5-brane and differential cohomotopy
J. Math. Phys. 56, 102301 (2015); dx.doi.org/10.1063/1.4932618
on the higher WZW term in the Green-Schwarz sigma model for the M5-brane.
Abstract We combine rational homotopy theory and higher Lie theory to describe the WZW term in the M5-brane Green-Schwarz 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.
Related talks:
talk at StringMath2017 (download: pdf)
presentation at Strings2019 (download: pdf)
Further developments:
Domenico Fiorenza, Hisham Sati, Urs Schreiber
The rational higher structure of M-theory
Proceedings of the LMS-EPSRC Durham Symposium:
Higher Structures in M-Theory, August 2018
Fortschritte der Physik, 2019
Last revised on October 5, 2019 at 07:09:37. See the history of this page for a list of all contributions to it.