Single Sneutrino/Slepton Production at LEP2 and the NLC

We propose a new method of detecting supersymmetry at LEP2 when R-parity is violated by an LLE operator. We consider the processes $e\gamma \text{ra}{\text{snu}}_j{e}_k$ and $e\gamma \text{ra}{\text{slep}}_k{\bar{\nu }}_j$. These are sensitive to seven of the nine LLE-operators. A Monte-Carlo analysis is performed to investigate the sensitivity to the sneutrino signal, and the 5$\sigma$ discovery contours in the mass vs. coupling plane are presented. For an integrated luminosity of 100 pb^-1, sneutrinos with masses up to 170 GeV/c^2 could be discovered in the near future at LEP2. For the charged slepton production the cross-section is too low to be detectable.