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Transference of kinks between $\mathbb{S}^2$ and $\mathbb{R}^2$ Sigma models

Year: 2024
Type: preprint
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.
DOI: 10.48550/arxiv.2410.01344
Language: English
Open Access status: green
Awards: G121809054, G142459216, G1569428888, G1855990336, G2262748287, G2366861772, G2660406951, G274725180, G3480869486, G3681454997, G4030862296, G4042783231, G425668148, G4719300552, G474592436, G5421974903, G5805502524, G6599249174, G7084143925, G7403964209, G7487192899, G7510362619
OpenAlex ID: W4403883765
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