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We extend the investigation of BPS saturated t'Hooft-Polyakov monopoles in$\mathcal{M}^{2}\times S^{2}$ to the general case of $SU(N)$ gauge symmetry.This geometry causes the resulting $N-1$ coupled non-linear ordinarydifferential equations for the $N-1$ monopole profiles to become autonomous.One can also define a flat limit in which the curvature of the backgroundmetric is arbitrarily small but the simplifications brought in by the geometryremain. We prove analytically that non-trivial solutions in which the profilesare not proportional can be found. Moreover, we construct numerical solutionsfor $N=2,3$ and 4. The presence of the parameter $N$ allows one to take asmooth large $N$ limit which greatly simplifies the treatment of the infinitenumber of profile function equations. We show that, in this limit, the systemof infinitely many coupled ordinary differential equations for the monopoleprofiles reduces to a single two-dimensional non-linear partial differentialequation.

$SU(N)$ BPS Monopoles in $\mathcal{M}^2\times S^2$