Lepton-flavor violation in the left-right supersymmetric standard model

In the Standard Model (SM), the charged lepton-flavor violation (CLFV) processes are forbidden, so the observation of CLFV represents a clear signal of new physics that goes beyond the Standard Model. In this work, we focus on the CLFV processes $l_j^{-}\to l_i^{-}\gamma$ and $l_j^{-}\to l_i^{-}{l}_i^{-}{l}_i^{+}$ in LRSSM. Considering the constraints of the updated experimental datas, the numerical results show that the new contributions of $SU{\left(2\right)}_R$ gauge interaction and a large number of other new particles, such as $Z^{{}^{\mathrm{\prime }}}$ boson, double-charged Higgs-bosons in LRSSM can make significant contributions to the CLFV processes $l_j^{-}\to l_i^{-}\gamma$ and $l_j^{-}\to l_i^{-}{l}_i^{-}{l}_i^{+}$, which is much different from the ones predicted in other SUSY models. This work provide a theoretical base for finding the LFV phenomena in new physics.