  We find new spontaneously generated fuzzy extra dimensions emerging from a
certain deformation of $N=4$ supersymmetric Yang-Mills (SYM) theory with cubic
soft supersymmetry breaking and mass deformation terms. First, we determine a
particular four dimensional fuzzy vacuum that may be expressed in terms of a
direct sum of product of two fuzzy spheres, and denote it in short as $S_F^{2\,
Int}\times S_F^{2\, Int}$. The direct sum structure of the vacuum is revealed
by a suitable splitting of the scalar fields in the model in a manner that
generalizes our approach in \cite{Seckinson}. Fluctuations around this vacuum
have the structure of gauge fields over $S_F^{2\, Int}\times S_F^{2\, Int}$,
and this enables us to conjecture the spontaneous broken model as an effective
$U(n)$ $(n < {\cal N})$ gauge theory on the product manifold $M^4 \times
S_F^{2\, Int} \times S_F^{2\, Int}$. We support this interpretation by
examining the $U(4)$ theory and determining all of the $SU(2)\times SU(2)$
equivariant fields in the model, characterizing its low energy degrees of
freedom. Monopole sectors with winding numbers $(\pm
1,0),\,(0,\pm1),\,(\pm1,\pm 1)$ are accessed from $S_F^{2\, Int}\times S_F^{2\,
Int}$ after suitable projections and subsequently equivariant fields in these
sectors are obtained. We indicate how Abelian Higgs type models with vortex
solutions emerge after dimensionally reducing over the fuzzy monopole sectors
as well. A family of fuzzy vacua is determined by giving a systematic treatment
for the splitting of the scalar fields and it is made manifest that suitable
projections of these vacuum solutions yield all higher winding number fuzzy
monopole sectors. We observe that the vacuum configuration $S_F^{2\, Int}\times
S_F^{2\, Int}$ identifies with the bosonic part of the product of two fuzzy
superspheres with $OSP(2,2)\times OSP(2,2)$ supersymmetry and elaborate on this
feature.
