We consider the modified superfield constraints with constant terms for the
D = 3, N = 2 Goldstone-Maxwell gauge multiplet which contains Goldstone fe
rmions, real scalar and vector fields. The partial spontaneous breaking N =
2 --> N = 1 is possible for the non-minimal self-interaction of this modif
ied gauge superfield including the linear Fayet-Iliopoulos term. The dual d
escription of the partial breaking in the model of the self-interacting Gol
dstone chiral superfield is also discussed. (C) 1999 Published by Elsevier
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