# 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.

## Key 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.