Model independent limits on an ultralight gravitino from supernovae

We revisit astrophysical constraints on models with an ultralight gravitino, in particular extending the analysis to more general models and the case of R-parity breaking. These constraints allow us to restrict the value of the gravitino mass depending on the masses of scalar moduli. We perform both a frequentist and a Bayesian analysis and we find comparable results, even if the Bayesian analysis is in part affected by volume effects. Only a small window of gravitino masses can be excluded by the supernova constraints in a model-independent way, while limits obtained with a definite assumption on the scalar masses are more stringent.