Supersymmetric non conservative systems

TL;DR

This paper extends a variational approach to nonconservative classical mechanics to include fermionic and supersymmetric systems, using superfield formalism and analyzing the non-conservation of supersymmetric charges.

Contribution

It introduces a generalized variational formulation for nonconservative supersymmetric systems, including boundary conditions and a Noether theorem for these cases.

Findings

Supersymmetric charges are not conserved in nonconservative systems.

The formalism is developed in superfield notation.

Boundary conditions are adapted for fermionic and supersymmetric cases.

Abstract

We give the generalization of a recent variational formulation for nonconservative classical mechanics, for fermionic and sypersymmetric systems. Both cases require slightly modified boundary conditions. The supersymmetric version is given in the superfield formalism. The corresponding Noether theorem is formulated. As expected, like the energy, the supersymmetric charges are not conserved.