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.
For further development see
Generalized cohomology of M2/M5-branes, talk at main workshop of Higher Structures in String Theory and Quantum Field Theory, ESI Program, Vienna, Dec 7 - 11, 2015
Equivariant cohomology of M2/M5-branes, talk at Seminar on Higher Structures in the Program on Higher Structures in Geometry and Physics, MPI Bonn, 15 Jan 2016
See also
Last revised on August 26, 2016 at 03:07:11. See the history of this page for a list of all contributions to it.