Transference of kinks between $\mathbb{S}^2$ and $\mathbb{R}^2$ Sigma models
High Energy Physics - Theory
2024-10-03 v1
Abstract
In this paper methods for deforming scalar field theories on Euclidean target spaces, in which new field theories are constructed so that solutions are known, are generalized to the context of Sigma models. In particular, deformations between Sigma models on the plane and on the sphere are considered. Three different examples are presented, where the change in the structure of the kink variety and the energy of the deformed kinks during this procedure are studied.
Cite
@article{arxiv.2410.01344,
title = {Transference of kinks between $\mathbb{S}^2$ and $\mathbb{R}^2$ Sigma models},
author = {A. Alonso-Izquierdo and A. J. Balseyro Sebastian and M. A. Gonzalez Leon},
journal= {arXiv preprint arXiv:2410.01344},
year = {2024}
}
Comments
23 pages, 20 figures