A Proposal for Aleph_o Extended Supersymmetry in 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.

Latex file, 14 pages

References in corpus (4)

• A Theory of Spinning Particles for Large N-extended Supersymmetry
• $N=4$ super KdV equation
• W-symmetry and the rigid particle
• Supersymmetric KP Systems Embedded in Supersymmetric Self-Dual Yang-Mills Theory

Cited by in corpus (7)

• Classification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics
• The Quantum Mechanics SUSY Algebra: An Introductory Review
• Interacting Fields of Arbitrary Spin and N>4 Supersymmetric Self-dual Yang-Mills Equations
• Aleph-Null Extended Supergravity and Chern-Simons Theories
• Super-Schwarzians via nonlinear realizations
• Alephnull-Extended Supersymmetric Chern-Simons Theory for Arbitrary Gauge Groups
• Division Algebras and Extended N=2,4,8 SuperKdVs