Scaling Behavior in the Einstein-Yang-Mills Monopoles and Dyons

TL;DR

This paper investigates how monopole and dyon solutions in Einstein-Yang-Mills theory scale in anti-de Sitter space, revealing charge-dependent mass scaling and characterizing stable and unstable solutions.

Contribution

It derives the scaling behavior of monopoles and dyons in Einstein-Yang-Mills theory within anti-de Sitter space, highlighting charge dependence and solution stability.

Findings

Mass scales with magnetic and electric charges independently of cosmological and gauge constants.

Stable solutions are approximated by fixed anti-de Sitter spacetime solutions.

Unstable solutions resemble dressed Bartnik-McKinnon solutions.

Abstract

Scaling behavior in the moduli space of monopole and dyon solutions in the Einstein-Yang-Mills theory in the asymptotically anti-de Sitter space is derived. The mass of monopoles and dyons scales with respect to their magnetic and electric charges, independent of the values of the cosmological constant and gauge coupling constant. The stable monopole and dyon solutions are approximated by solutions in the fixed anti-de Sitter spacetime. Unstable solutions can be viewed as the Bartnik-McKinnon solutions dressed with monopole and dyon solutions in the fixed anti-de Sitter space.