Phenomenology ofR-parity breaking inE6models

We explore the phenomenology of new $R$-parity-violating operators that can occur in ${\mathrm{E}}_6$ models. The set of allowed operators is found to depend sensitively on the nature of the extension of the standard-model gauge group. These new interactions lead to additional production processes for the exotic particles in such models and allow the lightest supersymmetric partner (LSP) to decay but with a highly suppressed rate. The implications of these new interactions are examined for the Fermilab Tevatron, Superconducting Super Collider, Large Hadron Collider, the DESY $\mathrm{ep}$ collider HERA, and $\sqrt{s}=0.5\mathrm{} \mathrm{and} 1$ TeV $e^{+}{e}^{-}$ colliders.