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Hyperbolic monopole-type solutions in $SU(3)$ Yang-Mills theory
We construct $S^1$-invariant solutions of the $SU(3)$ pure Yang-Mills theory on four-dimensional Euclidean space using the Cho-Faddeev-Niemi decomposition and a harmonic map from $S^2$ into the flag manifold $F_3=SU(3)/U(1)^2$. The resulting ansatz reduces the full Yang-Mills equations to coupled ra
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