  It can be expected from the result for the atmospheric neutrino by the
SUPERKAMIOKANDE and the CHOOZ result that the the lepton-flavor violating (LFV)
interaction between the second and third generations exits at the high energy
scale. This leads to a non-vanishing LFV left-handed slepton mass between the
second and third generations, induced by the radiative correction, in the
minimal supergravity scenario. In this article, assuming that the
supersymmetric standard model with the right-handed neutrinos explains the
atmospheric neutrino result, we show that the reach of the LFV slepton
production in the future lepton colliders can be more significant than that of
tau -> mu gamma.
