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We extend the study of BPS equations in ${\cal N}=1/2$ super Yang-Millstheory to the case of models with gauge symmetry breaking. We first consider anAbelian gauge-Higgs supersymmetric Lagrangian in $d=4$ dimensional Euclideanspace obtained by deforming ${\cal N} = 1$ superspace. The supermultipletsinclude chiral and vector superfields and its bosonic content coincides withthat of the Abelian Higgs model where vortex solutions to the BPS equation areknown to exist in the undeformed case. We also consider the $d=3$ dimensionalreduction of a non-Abelian $d=4$ deformed model and study its deformed BPSequations, showing the existence of new monopole solutions which depend on thedeformation parameter.Comment: 11 page

Bogomol'nyi-Prasad-Sommerfield analysis of gauge-field–Higgs models in nonanticommutative superspace