Kinks, chains, and loop groups in the CP^n sigma models
High Energy Physics - Theory
2010-01-25 v2
Abstract
We consider topological solitons in the CP^n sigma models in two space dimensions. In particular, we study "kinks", which are independent of one coordinate up to a rotation of the target space, and "chains", which are periodic in one coordinate up to a rotation of the target space. Kinks and chains both exhibit constituents, similar to monopoles and calorons in SU(n) Yang-Mills-Higgs and Yang-Mills theories. We examine the constituent structure using Lie algebras.
Cite
@article{arxiv.0902.2303,
title = {Kinks, chains, and loop groups in the CP^n sigma models},
author = {Derek Harland},
journal= {arXiv preprint arXiv:0902.2303},
year = {2010}
}
Comments
19 pages, 3 figures v2: Discussions improved, examples added, references added, typos corrected