Monopoles and dyons in SO(3) gauged Skyrme models

TL;DR

This paper explores finite energy monopole and dyon solutions in SO(3) gauged Skyrme models with specific potentials, analyzing their properties, interactions, and potential for forming large monopole clusters.

Contribution

It introduces new finite energy solutions with nonvanishing fluxes in SO(3) gauged Skyrme models, including numerical construction of unit and charge-2 monopoles and analysis of their interactions.

Findings

Finite energy monopole and dyon solutions exist in these models.

Numerical solutions for unit and charge-2 monopoles are obtained and characterized.

Attractive interactions between like-monopoles suggest possible large monopole clusters.

Abstract

Three dimensional SO(3) gauged Skyrme models characterised by specific potentials imposing special asymptotic values on the chiral field are considered. These models are shown to support finite energy solutions with nonvanishing magnetic and electrix flux, whose energies are bounded from below by two distinct charges - the magnetic (monopole) charge and a non-integer version of the Baryon charge. Unit magnetic charge solutions are constructed numerically and their properties characterised by the chosen asymptotics and the Skyrme coupling are studied. For a particular value of the chosen asymptotics, charge-2 axially symmetric solutions are also constructed and the attractive nature of the like-monopoles of this system are exhibited. As an indication towards the possible existence of large clumps of monopoles, some consideration is given to axially symmetric monopoles of charges-2,3,4.