Logarithmic Primary Fields in Conformal and Superconformal Field Theory

TL;DR

This paper explores the extension of primary fields to logarithmic conformal and superconformal theories, analyzing their structure and calculating two-point functions for specific cases, advancing understanding of logarithmic CFTs.

Contribution

It generalizes the concept of primary fields to logarithmic and superconformal theories, including explicit constructions and two-point function calculations.

Findings

Jordan block structures incorporated into primary fields

Two-point functions computed for N=0,2 theories

Extended framework for logarithmic superconformal fields

Abstract

In this note, some aspects of the generalization of a primary field to the logarithmic scenario are discussed. This involves understanding how to build Jordan blocks into the geometric definition of a primary field of a conformal field theory. The construction is extended to N=1,2 superconformal theories. For the N=0,2 theories, the two-point functions are calculated.