Stable monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter Space

TL;DR

This paper discovers a variety of new monopole and dyon solutions in Einstein-Yang-Mills theory within asymptotically anti-de Sitter space, highlighting their stability and physical properties.

Contribution

It introduces a continuum of regular monopole and dyon solutions with specific charges and demonstrates the stability of certain monopoles against linear perturbations.

Findings

New monopole and dyon solutions found

Stable monopole solutions without node in magnetic fields

Solutions characterized by mass and non-Abelian charges

Abstract

A continuum of new monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space are found. They are regular everywhere and specified with their mass, and non-Abelian electric and magnetic charges. A class of monopole solutions which have no node in non-Abelian magnetic fields are shown to be stable against spherically symmetric linear perturbations.