Discovering SUSY with m₀² < 0 in the First LHC Physics Run

In minimal supergravity, the parameter space where the slepton is the LSP is usually neglected, because of strong constraints on charged dark matter. When the gravitino is the true LSP, this region avoids these constraints and offers spectacular collider signals. We investigate this scenario for the LHC and find that a large portion of the ignored mSugra parameter space can lead to discovery within the first physics run, with 1-4 $\text{fb}^{-1}$ of data. We find that there are regions where discovery is feasible with only 1 day of running.