Model independent limits on an ultra-light gravitino from Supernovae
  We revisit astrophysical constraints on models with an ultra-light gravitino, in particular extending the analysis to more general models and the case of R-parity breaking. These constraints allow to restrict the value of the gravitino mass depending on the masses of scalar moduli. We perform both a frequentist and 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 SN constraints in a model-independent way, while limits obtained with a definite assumption on the scalar masses result more stringent. 
Riccardo Catena, Laura Covi and Timon Emken
hep-ph astro-ph.CO