In supersymmetric extensions of the Standard Model with a very light gravit
ino, the effective theory at the weak scale should contain not only the gol
dstino (G) over tilde, but also its supersymmetric partners, the sgoldstino
s. In the simplest case, the goldstino is a gauge-singlet and its superpart
ners are two neutral spin-0 particles, S and P. We study possible signals o
f massive sgoldstinos at e(+)e(-) colliders, focusing on those that are mos
t relevant at LEP energies. We show that the LEP constraints on e(+)e(-) --
> gamma S(gamma P), ZS(ZP) or e(+)e(-)S(e(+)e(-)P), followed by S(P) decayi
ng into two gluon jets, can lead to stringent combined bounds on the gravit
ino and sgoldstino masses. (C) 2000 Elsevier Science B.V. All rights reserv
ed.