Some new aspects of supersymmetryR-parity violating interactions

We examine $R$-parity-breaking interactions with lepton-number violation in the minimal supergravity model and obtain new stringent bounds on the coupling constants from low-energy processes. We discuss the decay of the lightest supersymmetric particle and analyze possible signatures for $R$-parity-violating interactions in $W$, $Z$, and Higgs-boson decays, and in $e^{+}{e}^{-}$ collisions.