Two dimensional fractional supersymmetric conformal field theories and the two point functions

TL;DR

This paper explores two-dimensional fractional supersymmetric conformal field theories, analyzing their symmetry structures and calculating two-point functions of supermultiplet component fields using specific algebra generators.

Contribution

It introduces the structure of symmetries in fractional supersymmetric conformal field theories and computes two-point functions with a focus on particular algebra generators.

Findings

Symmetry structure of fractional supersymmetric conformal field theories analyzed.

Two-point functions of supermultiplet components explicitly calculated.

Application of specific algebra generators to derive correlation functions.

Abstract

A general two dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Then, applying the generators of the closed subalgebra generated by $(L_{-1}, L_{0}, G_{-1/3})$ and $(\bar{L}_{-1}, \bar{L}_{0}, \bar{G}_{-1/3})$, the two point functions of the component fields of supermultiplets are calculated.