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arXiv · 1806.11458

Domain walls in a non-linear $\mathbb{S}^2$-sigma model with homogeneous quartic polynomial potential

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

In this paper the domain wall solutions of a Ginzburg-Landau non-linear $\mathbb{S}^2$-sigma hybrid model are exactly calculated. There exist two types of basic domain walls and two families of composite domain walls. The domain wall solutions have been identified by using a Bogomolny arrangement in a system of sphero-conical coordinates on the sphere $\mathbb{S}^2$. The stability of all the domain walls is also investigated.

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A. Alonso-Izquierdo, A. J. Balseyro Sebastian, M. A. Gonzalez Leon. 2018-12-05. Domain walls in a non-linear $\mathbb{S}^2$-sigma model with homogeneous quartic polynomial potential. https://doi.org/10.1007/jhep11(2018)023

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