Hidden nonlinear supersymmetries in pure parabosonic systems

TL;DR

This paper reveals hidden nonlinear supersymmetries in pure parabosonic systems, linking generalized statistics with supersymmetry through a nonlinear superalgebra, and relates these structures to Calogero-like and spin chain models.

Contribution

It uncovers a hidden nonlinear supersymmetric structure in parabosonic systems and connects it to known integrable models, extending the understanding of supersymmetry in quantum systems.

Findings

Hidden nonlinear supersymmetry in parabosonic systems

Relation to Calogero-like models with exchange interaction

Connection to spin chain models with inverse-square interaction

Abstract

The existence of intimate relation between generalized statistics and supersymmetry is established by observation of hidden supersymmetric structure in pure parabosonic systems. This structure is characterized generally by a nonlinear superalgebra. The nonlinear supersymmetry of parabosonic systems may be realized, in turn, by modifying appropriately the usual supersymmetric quantum mechanics. The relation of nonlinear parabosonic supersymmetry to the Calogero-like models with exchange interaction and to the spin chain models with inverse-square interaction is pointed out.