Logarithmic conformal field theories with continuous weights

TL;DR

This paper explores logarithmic conformal field theories with continuous weights, establishing relations between correlators of logarithmic and ordinary fields, and provides explicit examples using the Coulomb-gas model.

Contribution

It introduces a general relation between correlators of logarithmic and ordinary conformal fields in theories with continuous weights and demonstrates this with explicit Coulomb-gas model calculations.

Findings

Derived a relation linking logarithmic and ordinary correlators.

Explicitly computed correlators in the Coulomb-gas model.

Enhanced understanding of continuous-weight logarithmic CFTs.

Abstract

We study the logarithmic conformal field theories in which conformal weights are continuous subset of real numbers. A general relation between the correlators consisting of logarithmic fields and those consisting of ordinary conformal fields is investigated. As an example the correlators of the Coulomb-gas model are explicitly studied.