Searches for topologies characteristic of Gauge Mediated SUSY Breaking mode
ls (GMSB) are performed by analysing 173.6 pb(-1) of data collected at root
s = 188.6 GeV with the ALEPH detector. These topologies include acoplanar
photons, non-pointing single photon, acoplanar leptons, large impact parame
ter leptons! detached slepton decay vertices, heavy stable charged sleptons
and four leptons plus missing: energy final states. No evidence for these
new phenomena is observed and limits on production cross sections and spart
icle masses are derived. A scan of a minimal GMSB parameter space is perfor
med and model dependent lower limits of about 45 GeV/c(2) on the next-to-li
ghtest supersymmetric particle (NLSP) mass and of about 9 TeV on the mass s
cale parameter Lambda are derived, independently of the NLSP lifetime.