Supersymmetry breaking in ISS coupled to gravity

We analyse the breakdown of supersymmetry in an ISS model in the presence of gravity, under the requirement that the cosmological constant vanishes dynamically. The gravitational backreaction is calculated in the metastable minimum and, in conjuction with the condition V=0, this is shown to generate non-zero F-terms for the squarks. Once the squarks are coupled to the messenger sector, a gauge mediation scheme is realised and it leads to a distinctive soft spectrum, with a two order of magnitude split between the gaugino and the soft scalar masses.