A Proposal for Aleph_o Extended Supersymmetry in Integrable Systems

TL;DR

This paper proposes an extension of supersymmetry to the KdV system using off-shell spinning particle techniques, suggesting a universal framework for all supersymmetric integrable systems.

Contribution

It introduces an arbitrary N-extension of supersymmetry for the KdV system and proposes the ${ e}_0$ extension as a universal paradigm for supersymmetric integrable systems.

Findings

Extension of supersymmetry to arbitrary N for KdV.

Proposed ${ e}_0$ extension as a universal model.

Framework applicable to all supersymmetric integrable systems.

Abstract

Utilizing techniques suggested by the recently obtained construction of off-shell spinning particles, we propose the arbitrary $N$-extension of supersymmetry for the KdV system. It is further suggested that the ${\aleph}_0$ extension for the SKdV system provides a paradigm for {\underline {all}} supersymmetric completely integrable systems.