  We discuss a supersymmetry breaking mechanism for N = 1 theories triggered by
higher dimensional op- erators. We consider such operators for real linear and
chiral spinor superfields that break superymmetry and reduce to the
Volkov-Akulov action. We also consider supersymmetry breaking induced by a
higher dimensional operator of a nonminimal scalar (complex linear) multiplet.
The latter differs from the stan- dard chiral multiplet in its auxiliary
sector, which contains, in addition to the complex scalar auxiliary of a chiral
superfield, a complex vector and two spinors auxiliaries. By adding an
appropriate higher di- mension operator, the scalar auxiliary may acquire a
nonzero vev triggering spontaneous supersymmetry breaking. We find that the
spectrum of the theory in the supersymmetry breaking vacuum consists of a free
chiral multiplet and a constraint chiral superfield describing the goldstino.
Interestingly, the latter turns out to be one of the auxiliary fermions, which
becomes dynamical in the supersymmetry breaking vacuum. In all cases we are
considering here, there is no sgoldstino mode and thus the goldstino does not
have a superpartner. The sgoldstino is decoupled since the goldstino is one of
the auxiliaries, which is propagating only in the supersymmetry breaking
vacuum. We also point out how higher dimension operators introduce a potential
for the propagating scalar of the theory.
