Logarithmic two dimensional spin-1/3 fractional supersymmetric conformal field theories and the two point functions

TL;DR

This paper investigates logarithmic spin-1/3 superconformal field theories, deriving two-point functions for Jordanian blocks of arbitrary weights in two dimensions, expanding understanding of fractional supersymmetric models.

Contribution

It provides explicit forms of two-point functions for Jordanian blocks in logarithmic spin-1/3 superconformal theories, a novel extension in fractional supersymmetry.

Findings

Derived two-point functions for Jordanian blocks of arbitrary weights.

Extended the framework of logarithmic superconformal field theories.

Enhanced understanding of fractional supersymmetric models.

Abstract

Logarithmic spin-1/3 superconformal field theories are investigated. the chiral and full two-point functions of two-(or more-) dimensional Jordanian blocks of arbitrary weights, are obtained.