A Theory of Spinning Particles for Large N_extended Supersymmetry (II)

TL;DR

This paper develops a new off-shell formulation for spinning particles in Minkowski space with extended supersymmetry, utilizing generalized algebraic structures that extend Pauli algebras, advancing theoretical understanding of supersymmetric particle models.

Contribution

It introduces a novel off-shell construction for supersymmetric spinning particles using generalized algebraic structures, expanding the mathematical framework of supersymmetry models.

Findings

New algebraic structures ${ m G}{ m R}({ m d}, N)$ introduced

Off-shell formulations for extended supersymmetry particles developed

Mathematical framework for supersymmetric particles expanded

Abstract

Extending our prior investigation, we give a new off-shell construction of theories of spinning particles propagating in Minkowski spaces with arbitrary $N$-extended supersymmetry on the world-line. The basis of the new off-shell formulation is provided by realizations of new algebraic structures ${\cal G}{\cal R}$(${\rm d}, N$) that are certain generalizations of Pauli algebras.