Searches in light gravitino scenarios with sfermion NLSP at LEP

A review of the main results obtained by the four LEP experiments on the search for new particles predicted in theories of Supersymmetry with light gravitinos is reported. It is also assumed that sfermions are the next-to-lightest supersymmetric particles. The report is based on data collected at LEP 2 centre-of-mass energies, square root s=133 to 189 GeV. No evidence for such signal is observed, although candidate events consistent with the expectations from Standard Model processes are observed. Limits at 95% C.L. on the production cross- section and on the particle masses obtained by the four LEP experiments are reported. (10 refs).