Logarithmic N=1 superconformal field theories

TL;DR

This paper develops the theoretical framework for N=1 logarithmic superconformal field theories, deriving explicit two-, three-, and four-point functions, thus advancing understanding of their structure and correlations.

Contribution

It provides explicit formulas for correlation functions in N=1 logarithmic superconformal field theories, extending known SCFT results to the logarithmic case.

Findings

Derived two-point functions with multi-dimensional Jordan blocks.

Obtained three-point functions based on known N=1 SCFT functions.

Presented the general form of four-point functions for N=1 LSCFT.

Abstract

We study the logarithmic superconformal field theories. Explicitly, the two-point functions of N=1 logarithmic superconformal field theories (LSCFT) when the Jordan blocks are two (or more) dimensional, and when there are one (or more) Jordan block(s) have been obtained. Using the well known three-point fuctions of N=1 superconformal field theory (SCFT), three-point functions of N=1 LSCFT are obtained. The general form of N=1 SCFT's four-point functions is also obtained, from which one can easily calculate four-point functions in N=1 LSCFT.