SLE for theoretical physicists

TL;DR

This paper introduces Schramm-Loewner evolution (SLE) and its relation to conformal field theory, focusing on conceptual understanding of its application to two-dimensional critical phenomena for theoretical physicists.

Contribution

It provides an accessible overview of SLE and its connection to conformal field theory, emphasizing conceptual insights over rigorous proofs.

Findings

Clarifies the relationship between SLE and conformal field theory

Highlights the role of SLE in understanding 2D critical behavior

Provides conceptual framework for applying SLE in physics

Abstract

This article provides an introduction to Schramm(stochastic)-Loewner evolution (SLE) and to its connection with conformal field theory, from the point of view of its application to two-dimensional critical behaviour. The emphasis is on the conceptual ideas rather than rigorous proofs.