Abelian Sandpile Model: a Conformal Field Theory Point of View

TL;DR

This paper establishes a connection between the abelian sandpile model and $c=-2$ conformal field theory by deriving the associated scaling fields and demonstrating their relation.

Contribution

It introduces a method to derive scaling fields in $c=-2$ conformal field theory linked to sandpile clusters, revealing a direct relation between the models.

Findings

Derived scaling fields in $c=-2$ conformal field theory.

Established a direct relation between sandpile clusters and conformal fields.

Enhanced understanding of critical phenomena in sandpile models.

Abstract

In this paper we derive the scaling fields in $c=-2$ conformal field theory associated with weakly allowed clusters in abelian sandpile model and show a direct relation between the two models.