FQFT and cohomology
Types of quantum field thories
Analogs of the 2d WZW model in higher dimension.
Takeo Inami, Hiroaki Kanno and Tatsuya Ueno, Higher-dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra (arXiv:hep-th/9704010)
Boundary higher dimensional WZW models for nonabelian higher dimensional Chern-Simons theory are discussed in
J. Gegenberg , G. Kunstatter, Boundary Dynamics of Higher Dimensional Chern-Simons Gravity (arXiv:hep-th/0010020)
J. Gegenberg , G. Kunstatter, Boundary Dynamics of Higher Dimensional AdS Spacetime (arXiv:hep-th/9905228)
The global formulation (cancelling classical anomalies) is discussed in