Deformed Oscillator Algebras and Higher-Spin Gauge Interactions of Matter Fields in 2+1 Dimensions

TL;DR

This paper develops a non-linear framework for higher-spin gauge interactions of massive matter fields in 2+1 dimensions, linking the mass parameter to a deformed oscillator algebra's deformation parameter.

Contribution

It introduces a novel non-linear system describing higher-spin interactions in 2+1D and elucidates the role of deformed oscillator algebra in this context.

Findings

Mass parameter M is related to the deformation parameter of the algebra.

The formulation provides insights into the algebraic structure underlying higher-spin interactions.

Properties of the deformed oscillator algebra are clarified in relation to matter field masses.

Abstract

We formulate a non-linear system of equations which describe higher-spin gauge interactions of massive matter fields in 2+1 dimensional space-time and explain some properties of the deformed oscillator algebra which underlies this formulation. In particular we show that the parameter of mass $M$ of matter fields is related to the deformation parameter in this algebra.