Logarithmic Conformal Null Vectors and SLE

TL;DR

This paper introduces an extended Loewner evolution involving coupled equations, linking its martingales to null vectors in logarithmic conformal field theory, thus bridging stochastic processes and advanced CFT structures.

Contribution

It presents a novel extension of Loewner evolution and establishes a connection between its martingales and null vectors in logarithmic conformal field theory.

Findings

Extended Loewner evolution with coupled equations

Connection between martingales and logarithmic CFT null vectors

New framework linking stochastic processes and logarithmic conformal structures

Abstract

Formal Loewner evolution is connected to conformal field theory. In this letter we introduce an extension of Loewner evolution, which consists of two coupled equations and connect the martingales of these equations to the null vectors of logarithmic conformal field theory.