Particle-like solutions to the Yang--Mills-dilaton system in d=4+1 dimensions

TL;DR

This paper constructs static, finite-energy solutions in a 4+1 dimensional SU(2) Yang--Mills-dilaton model, exploring solitons with topological charge and soliton-antisoliton pairs under bi-azimuthal symmetry.

Contribution

It introduces new static solutions in higher-dimensional Yang--Mills-dilaton models with bi-azimuthal symmetry, including configurations with nontrivial topological charge and soliton-antisoliton pairs.

Findings

Solutions include multi-solitons with topological charge n^2.

Existence of soliton-antisoliton pairs with zero topological charge.

Higher order YM terms are essential for finite energy solutions.

Abstract

We construct static solutions to a SU(2) Yang--Mills (YM) dilaton model in 4+1 dimensions subject to bi-azimuthal symmetry. The YM sector of the model consists of the usual YM term and the next higher order term of the YM hierarchy, which is required by the scaling condition for the existence of finite energy solutions. The basic features of two different types of configurations are studied, corresponding to (multi)solitons with topological charge $n^2$, and soliton--antisoliton pairs with zero topological charge.