Sleptons Masses in the Minimal Supersymmetric $SU(3)_{C}\times SU(3)_{L}\times U(1)_{N}$ Model

Abstract

We present the mass spectrum of the sleptons in the Minimal Supersymmetric $SU(3)_{C}\times SU(3)_{L}\times U(1)_{N}$ Model, when all the usual neutral scalars fields obtain vacuum expectation values. In this model, we can define $R$-Parity conservation, where our superpotential respect the invariance of the quantum number ${\cal F} \equiv B+L$, where $B$ is the baryon number while $L$ is the total lepton number.