Relations among topological solitons
High Energy Physics - Theory
2022-05-16 v2 High Energy Physics - Phenomenology
Abstract
We clarify relations among topological solitons in various dimensions: a domain wall, non-Abelian vortex, magnetic monopole and Yang-Mills instanton, together with a (non-Abelian) sine-Gordon soliton, baby Skyrmion (lump) and Skyrmion. We construct a composite configuration consisting of a domain wall, vortex, magnetic monopole and Yang-Mills instanton (wall-vortex-monopole-instanton) using the effective theory technique or moduli approximation. Removing some solitons from such a composite, we obtain all possible composite solitons in the form of solitons within a soliton, including all the previously known configurations, yielding relations among topological solitons.
Cite
@article{arxiv.2202.03929,
title = {Relations among topological solitons},
author = {Muneto Nitta},
journal= {arXiv preprint arXiv:2202.03929},
year = {2022}
}
Comments
42 pages, 4 figures, published version