Abstract:This paper studies the topological properties of knotted solitons in the (3 + 1)-dimensional Aratyn–Ferreira–Zimerman (AFZ) model. Topologically, these solitons are characterized by the Hopf invariant I, which is an integral class in the homotopy group π3(S3) = Z. By making use of the decomposition of U(1) gauge potential theory and Duan's topological current theory, it is shown that the invariant is just the total sum of all the self-linking and linking numbers of the knot family while only linking numbers … Show more
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