Supersymmetrization of the Radiation Damping

TL;DR

This paper develops a supersymmetric extension of a radiation damping model, analyzing its symmetries, conserved charges, and algebraic structure, with a focus on its internal and external sector separation.

Contribution

It introduces a novel supersymmetrized version of the radiation damping model, expanding the Galilei algebra to include supersymmetry and analyzing its symmetry properties.

Findings

Supersymmetric model constructed with explicit symmetries.

Identification of conserved Noether charges.

Separation into independent external and internal sectors.

Abstract

We construct a supersymmetrized version of the model to the radiation damping \cite{03} introduced by the present authors \cite{ACWF}. We dicuss its symmetries and the corresponding conserved Noether charges. It is shown this supersymmetric version provides a supersymmetric generalization of the Galilei algebra obtained in \cite{ACWF}. We have shown that the supersymmetric action can be splited into dynamically independent external and internal sectors.