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In this paper, we established the existence and uniqueness of the sphericallysymmetric monopole solutions in SO(5) gauge theory with Higgs scalar fields inthe vector representation in six-dimensional Minkowski space-time and obtainsharp asymptotic estimates for the solutions. Our method is based on adynamical shooting approach that depends on two shooting parameters whichprovides an effective framework for constructing the generalized monopoles insix-dimensional Minkowski space-time.

Existence and uniqueness of generalized monopoles in six-dimensional non-Abelian gauge theory