Topological and non-topological kink families in non-linear $(\mathbb{S}^1\times \mathbb{S}^1)$-Sigma models

A. Alonso-Izquierdo; A. J. Balseyro Sebastian; M. A. Gonzalez Leon

doi:10.1016/j.cnsns.2023.107503

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arXiv · 2305.03434

Topological and non-topological kink families in non-linear $(\mathbb{S}^1\times \mathbb{S}^1)$-Sigma models

A. Alonso-Izquierdo·A. J. Balseyro Sebastian·M. A. Gonzalez Leon

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Abstract

In this paper we construct a family of Hamilton-Jacobi separable non-linear $\mathbb{S}^1\times\mathbb{S}^1$ Sigma models for which the kink variety can be analytically identified and for which the linear stability of the emerging kinks is ensured. Furthermore, a model with only one vacuum point is found, where all kinks are forced to be non-topological. The non-simply connectedness of the torus guarantees the global stability of all the non-topological kinks in these models.

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A. Alonso-Izquierdo, A. J. Balseyro Sebastian, M. A. Gonzalez Leon. 2023-05-05. Topological and non-topological kink families in non-linear $(\mathbb{S}^1\times \mathbb{S}^1)$-Sigma models. https://doi.org/10.1016/j.cnsns.2023.107503

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