Number Operator Algebras and generalizations of supersymmetry

TL;DR

This paper introduces 'Number Operator Algebras' as a unifying framework for various quantum systems that extend supersymmetry, providing a comprehensive algebraic perspective.

Contribution

It demonstrates that multiple supersymmetry-extended quantum systems can be encompassed within the concept of Number Operator Algebras, offering a new algebraic approach.

Findings

Unified algebraic framework for supersymmetry extensions

All studied systems fit into Number Operator Algebras

Potential for new algebraic methods in quantum physics

Abstract

Several quantum systems have been used in the last few years to extend supersymmetry. In this paper we show all this systems fit into the picture of what we call "Number Operator Algebras".