Supersymmetric spin operators

TL;DR

This paper introduces a supersymmetric framework for representing spin operators, unifying existing models and enabling a comprehensive analysis of magnetism and the Kondo effect within a large N expansion.

Contribution

It develops a supersymmetric representation of spin operators that unifies Schwinger and Abrikosov models, facilitating a unified treatment of magnetism and Kondo physics.

Findings

Unified supersymmetric spin operator representation.

Controlled large N expansion for magnetism and Kondo effect.

Application to SU(N) Kondo model demonstrates effectiveness.

Abstract

We develop a supersymmetric representation of spin operators which unifies the Schwinger and Abrikosov representations of SU(N) spin operators, allowing a second-quantized treatment of representations of the SU(N) group with both symmetric and antisymmetric character. By applying this to the SU(N) Kondo model, we show that it is possible to develop a controlled treatment of both Magnetism and the Kondo effect within a single large N expansion.