Search for Gluino and Squark Cascade Decays at the Fermilab Tevatron Collider

We report on a search for supersymmetry using dilepton events which complements the classic missing $E_T$ plus multijet analyses. Using $19{\mathrm{pb}}^{-1\mathrm{}}$ of $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}\mathrm{TeV}$ recorded with the Collider Detector at Fermilab we have searched for squarks and gluinos decaying into charginos and producing events with two leptons. We observe one candidate event. In comparison, the expected number of background events from standard model processes is $2.39\pm 0.63\left(\mathrm{stat}{)}_{-0.42\mathrm{}}^{+0.77\mathrm{}}\right(\mathrm{syst})$. Hence we set limits on gluino and squark production based on predictions from the supergravity inspired minimal supersymmetric extension of the standard model.