Kinks in massive non-linear ${\mathbb S}^1\times{\mathbb S}^1$-Sigma models
A. Alonso-Izquierdo,
A. J. Balseyro Sebastian,
J. Mateos Guilarte
et al.
Abstract:In this paper the whole kink varieties arising in several massive non-linear Sigma models whose target space is the torus S 1 × S 1 are analytically calculated. This possibility underlies the construction of first-order differential equations by adapting the Bogomolny procedure to non-Euclidean spaces. Among the families of solutions non-topological kinks connecting the same vacuum are found. This class of solutions are usually considered to be not globally stable. However, in this context the topological cons… Show more
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