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We consider a U(2) Yang-Mills theory on M x S_F^2 where M is an arbitrarynoncommutative manifold and S_F^2 is a fuzzy sphere spontaneously generatedfrom a noncommutative U(N) Yang-Mills theory on M, coupled to a triplet ofscalars in the adjoint of U(N). Employing the SU(2)-equivariant gauge fieldconstructed in arXiv:0905.2338, we perform the dimensional reduction of thetheory over the fuzzy sphere. The emergent model is a noncommutative U(1) gaugetheory coupled adjointly to a set of scalar fields. We study this model on theGroenewald-Moyal plane and find that, in certain limits, it admitsnoncommutative, non-BPS vortex as well as flux-tube (fluxon) solutions anddiscuss some of their properties.

Noncommutative Vortices and Flux-Tubes from Yang-Mills Theories with Spontaneously Generated Fuzzy Extra Dimensions