Sigma models in 2+1 dimensions

Ward, R.S.

Abstract

Finite-energy harmonic maps from R2 into simple manifolds such as CP1 ≅ S2 or SU(2)≅ S3 are thoroughly understood. The relevant equations constitute an integrable system, the general solution of which can be written down explicitly. Such solutions may be regarded as static multi-soliton configurations in two-dimensional space. In the language of physics, these “harmonic-map” systems are known as sigma models or chiral models.

Citation

Ward, R. (1994). Sigma models in 2+1 dimensions. In A. P. Fordy, & J. C. Wood (Eds.), Harmonic maps and integrable systems (193-202). F. Vieweg. https://doi.org/10.1007/978-3-663-14092-4_9

• Publication Date: 1994
• Pages: 193-202
• Series Title: Aspects of mathematics. E, v. 23
• Book Title: Harmonic maps and integrable systems.
• DOI: https://doi.org/10.1007/978-3-663-14092-4_9
• Public URL: https://durham-repository.worktribe.com/output/1674407