Fsusy and Field Theoretical Construction

TL;DR

This paper develops field theoretical models invariant under a specific fractional supersymmetric algebra in two dimensions, extending previous work on fractional spin symmetries.

Contribution

It introduces a novel construction of field theories with invariance under the $D=2(1/3,1/3)$ supersymmetric algebra, advancing fractional supersymmetry research.

Findings

Constructed field models with fractional supersymmetry invariance

Extended fractional spin symmetry framework to field theories

Provided mathematical consistency for new supersymmetric models

Abstract

Following our previous work on fractional spin symmetries (FSS) \cite{6, 7}, we consider here the construction of field theoretical models that are invariant under the $D=2(1/3,1/3)$ supersymmetric algebra.