Electrically Charged Topological Solitons

TL;DR

This paper introduces new integrable models with topological solitons that exhibit properties similar to monopoles and dyons, analyzing their spectrum, quantization, and renormalization.

Contribution

It constructs two new families of integrable models with U(1) symmetry, featuring topological solitons analogous to monopoles and dyons, and studies their quantum properties.

Findings

Identification of neutral and charged topological solitons

Analysis of semiclassical quantization of solitons

Determination of counterterms and renormalization effects

Abstract

Two new families of T-Dual integrable models of dyonic type are constructed. They represent specific $A_n^{(1)}$ singular Non-Abelian Affine Toda models having U(1) global symmetry. Their 1-soliton spectrum contains both neutral and U(1) charged topological solitons sharing the main properties of 4-dimensional Yang-Mills-Higgs monopoles and dyons. The semiclassical quantization of these solutions as well as the exact counterterms and the coupling constant renormalization are studied.