nLab higher dimensional WZW model



\infty-Wess-Zumino-Witten theory

Quantum field theory


physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes

theory (physics), model (physics)

experiment, measurement, computable physics



Analogs of the 2d WZW model in higher dimension.



  • 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

Last revised on October 31, 2019 at 20:45:56. See the history of this page for a list of all contributions to it.