Spherically Symmetric Solutions of the SU(N) Skyrme Models

TL;DR

This paper constructs new static spherically symmetric solutions for SU(N) Skyrme models using harmonic maps from S^2 to CP^{N-1}, expanding the known solution space with explicit examples.

Contribution

It introduces a detailed construction method for solutions based on harmonic maps, providing explicit forms for new solutions in SU(N) Skyrme models.

Findings

Explicit static spherically symmetric solutions derived

Properties of the solutions analyzed

Method applicable to various N values

Abstract

Recently we have presented in hep-th/9811071 an ansatz which allows us to construct skyrmion fields from the harmonic maps of $S\sp2$ to $CP\sp{N-1}$. In this paper we examine this construction in detail and use it to construct, in an explicit form, new static spherically symmetric solutions of the SU(N) Skyrme models. We also discuss some properties of these solutions.