Off-critical lattice models and massive SLEs

TL;DR

This paper explores how variants of Schramm's SLE can model the scaling limits of off-critical two-dimensional lattice models, extending the applicability of SLE beyond critical points.

Contribution

It proposes a framework for using massive SLEs to describe off-critical lattice models, a novel extension of existing critical SLE theory.

Findings

Initial theoretical formulation of massive SLEs

Identification of open questions in off-critical SLE applications

Potential for future research in off-critical scaling limits

Abstract

We suggest how versions of Schramm's SLE can be used to describe the scaling limit of some off-critical 2D lattice models. Many open questions remain.