Solutions of the Yang-Mills-Higgs equations in 2+1 dimensional anti-de Sitter space-time

Details Solutions of the Yang-Mills-Higgs equations in 2+1 dimensional anti-de Sitter space-time Solutions of the Yang-Mills-Higgs equations in 2+1 dimensional anti-de Sitter space-time

2000-11-11

arxiv.org/abs/nlin/0011020v1

J.Math.Phys. 42 (2001) 1085-1099

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 18 pages, 11 PS figures

Scientific paper

10.1063/1.1337799

The solutions of the Bogomolny equation in anti-de Sitter space-time are obtained by using Darboux transformations with both constant spectral parameters and variable "spectral parameters". These solutions give the Yang-Mills-Higgs fields in anti-de Sitter space-time. Some examples in SU(2) case are considered and qualitative asymptotic behaviors of the solutions as t tends to infinity are discussed in detail.

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