We consider a U(4) Yang-Mills theory on M x S_F^2 x S_F^2 where M is an arbitrary Riemannian manifold and S_F^2 x S_F^2 is the product of two fuzzy spheres spontaneously generated from a SU(N) Yang-Mills theory on M which is suitably coupled to six scalars in the adjoint of SU( N). We determine the SU(2) x SU(2)-equivariant U(4) gauge fields and perform the dimensional reduction of the theory over S_F^2 x S_F^2. The emergent model is a U(1)^4 gauge theory coupled to four complex and eight real

more »

... calar fields. We study this theory on R_2 and find that, in certain limits, it admits vortex type solutions with U(1)^3 gauge symmetry and discuss some of their properties.