Bogomolny Yang-Mills-Higgs Solutions in (2+1) anti-de Sitter Space

TL;DR

This paper explores integrable Bogomolny Yang-Mills-Higgs equations in (2+1) anti-de Sitter space, constructing explicit soliton solutions and analyzing their dynamics to advance understanding of hyperbolic monopoles.

Contribution

It introduces explicit soliton solutions for the integrable Bogomolny Yang-Mills-Higgs equations in (2+1) anti-de Sitter space and studies their dynamics.

Findings

Explicit families of soliton solutions constructed.

Detailed analysis of soliton dynamics.

Enhanced understanding of hyperbolic monopoles.

Abstract

This paper investigates an integrable system which is related to hyperbolic monopoles; ie the Bogomolny Yang-Mills-Higgs equations in (2+1) anti-de Sitter space which are integrable and whose solutions can be obtained using analytical methods. In particular, families of soliton solutions have been constructed explicitly and their dynamics has been investigated in some detail.