Search for Hidden Dimensions in Run I Tevatron Data

We describe the results of four new searches based on data samples from the 1992 - 1996 proton-antiproton 1.8 TeV Collider run at Fermilab. DZERO has searched for resonant slepton production in the two muon plus two jet channel. Using the R-parity violating mSUGRA model, smuon and smuon neutrino masses up to 280 GeV/c2 are excluded. CDF has searched for R-parity violating scalar top quark decays in two tau plus two jet events and set a mass limit of 119 GeV/c2. DZERO has searched for evidence of large extra dimensions in monojet production. Limits are set on M_D the fundamental mass scale, of 0.68 and 0.63 TeV for n = 4 and n = 6 extra dimensions. CDF has interpreted a search for new physics in photon + missing energy events as a search for a gravitino and alternatively as a search for effects of graviton production. A gravitino mass limit of 1.17*10**(-5) eV is set. Limits on M_D of 0.55, 0.58, and 0.60 TeV for n = 4, 6, and 8 are also determined.