  We extend the study of BPS equations in ${\cal N}=1/2$ super Yang-Mills
theory to the case of models with gauge symmetry breaking. We first consider an
Abelian gauge-Higgs supersymmetric Lagrangian in $d=4$ dimensional Euclidean
space obtained by deforming ${\cal N} = 1$ superspace. The supermultiplets
include chiral and vector superfields and its bosonic content coincides with
that of the Abelian Higgs model where vortex solutions to the BPS equation are
known to exist in the undeformed case. We also consider the $d=3$ dimensional
reduction of a non-Abelian $d=4$ deformed model and study its deformed BPS
equations, showing the existence of new monopole solutions which depend on the
deformation parameter.
