New axially symmetric Yang-Mills-Higgs solutions with negative cosmological constant

TL;DR

This paper numerically constructs new axially symmetric SU(2) Yang-Mills-Higgs solutions in anti-de Sitter spacetime, including multimonopoles and monopole-antimonopole pairs, and analyzes their properties and boundary conditions.

Contribution

It introduces novel axially symmetric solutions in AdS space, expanding understanding of Yang-Mills-Higgs configurations with negative cosmological constant.

Findings

Constructed multimonopole solutions with magnetic charge n>1

Developed monopole-antimonopole pair solutions with zero net charge

Analyzed boundary conditions and properties of these solutions

Abstract

We construct numerically new axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in $(3+1)$ anti-de Sitter spacetime. Two types of finite energy, regular configurations are considered: multimonopole solutions with magnetic charge $n>1$ and monopole-antimonopole pairs with zero net magnetic charge. A somewhat detailed analysis of the boundary conditions for axially symmetric solutions is presented. The properties of these solutions are investigated, with a view to compare with those on a flat spacetime background. The basic properties of the gravitating generalizations of these configurations are also discussed.