# Contents

## Idea

Analogs of the 2d WZW model in higher dimension.

## References

• Dan Freed, Pions and generalized cohomology, J. Differential Geom. Volume 80, Number 1 (2008), 45-77. (arxiv:hep-th/0607134)

• 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)

Discussion of symmetry protected topological order phases of matter in solid state physics via higher WZW models is in

• Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, Xiao-Gang Wen, Symmetry protected topological orders and the group cohomology of their symmetry group, Phys. Rev. B 87, 155114 (2013) (arXiv:1106.4772)

The global formulation (cancelling classical anomalies) is discussed in

Revised on March 8, 2016 10:32:45 by Urs Schreiber (86.187.107.111)