Abstract

SO(d) gauged Skyrme models, in three and four dimensions respectively, are studied numerically. The soliton/instanton solutions in these models are stabilized by the degree of the maps rather than the Chern-Pontryagin indices, but some of these solutions carry the latter index too. These models feature asymptotic properties that are different from those of the corresponding Higgs models, mainly in that they exhibit catastrophic behaviour for some ranges of the coupling constants in the models.

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