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If dark matter particles are not perfectly stable, their decay products mightbe seen in the cosmic-ray fluxes. A natural candidate for decaying dark matteris the gravitino in R-parity violating scenarios. In the relevant GeV-TeVenergy range, the Fermi Large Area Telescope (LAT) is now measuring cosmicgamma-ray fluxes with an unprecedented precision. We use the Fermi LATgamma-ray data to search for signatures from gravitino dark matter particles,concentrating on gamma-ray lines and galaxy cluster observations. Implicationsof our results for the decay length of the next-to-lightest superparticle,which could be seen at the LHC in the near future, are discussed.

Galaxy Clusters and Gamma-Ray Lines: Probing Gravitino Dark Matter with the Fermi LAT