Gravitinos from Gravitational Collapse

We reanalyse the limits on the gravitino mass $m_{3\mathrm{/}2}$ in superlight gravitino scenarios derived from arguments on energy-loss during gravitational collapse. We conclude that the mass range $10^{-6}eV\leq m_{3/2}\leq2.3\times10^{-5}eV$ is excluded by SN1987A data. In terms of the scale of supersymmetry breaking $\mathrm{\Lambda }$, the range $70GeV\leq\Lambda \leq 300GeV$ is not allowed.