Vector-like lepton model with supersymmetric interaction

A supersymmetric vector-like model of lepton interaction is proposed on the basis of the gauge group $SU_2\times U_1$. The fermion sector of the model consists of the electron $e$, the muon $\mu$, one heavy charged lepton $E$, two heavy neutral Dirac leptons, and three twocomponent neutrinos $(\nu_e,\nu_\mu,\nu_x)$. The supersymmetry is spontaneously broken but the neutrinos are not Goldstone fermions.