Supersymmetrization of radiation damping

We construct a supersymmetrized version of the model to the radiation damping introduced by the present authors (Mendes, Neves, Oliveira and Takakura 2005 Preprint hep-th/0503135). We discuss its symmetries and the corresponding conserved Noether charges. It is shown that this supersymmetric version provides a supersymmetric generalization of the Galilei algebra of the model. We have shown that the supersymmetric action can be split into dynamically independent external and internal sectors.