F-Susy And The Three States Potts Model

TL;DR

This paper explores 2D fractional supersymmetry (F-susy) and its application to the three states Potts model, linking it to other models like the tricritical Ising model within the context of fractional supersymmetric theories.

Contribution

It investigates the role of 2D fractional supersymmetry in the three states Potts model, expanding understanding of fractional supersymmetric theories.

Findings

F-susy is relevant to the three states Potts model.

Connections established between F-susy, Potts model, and tricritical Ising model.

Provides insights into fractional supersymmetric theories in two dimensions.

Abstract

In view of its several involvements in various physical and mathematical contexts, 2D-fractional supersymmetry (F-susy) is once again considered in this work. We are, for instance, interested to study the three states Potts model $(k = 3)$ which represents with the tricritical Ising model $(k = 2)$ the two leading examples of more general spin $1/k$ fractional supersymmetric theories.