Relation between the solitons of Yang-Mills-Higgs fields in 2+1 dimensional Minkowski space-time and anti-de Sitter space-time
arXiv:nlin/0107047 · doi:10.1063/1.1398585
Abstract
The Yang-Mills-Higgs-Bogomolny equations in both 2+1 dimensional Minkowski space-time and 2+1 dimensional anti-de Sitter space-time are known to be integrable and their soliton solutions have already been obtained. In this paper we show that there is a natural relation between the Lax pairs and soliton solutions in these two space-times when the curvature changes from 0 to -1. The change of the asymptotic behaviors of the solitons are also discussed.
LaTeX, 11 pages, 8 figures