English

A c=-2 boundary changing operator for the Abelian sandpile

High Energy Physics - Theory 2015-06-26 v2 Condensed Matter

Abstract

We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions. We show that the operator effecting the change from closed to open, or from open to closed, is a boundary primary field of weight -1/8, belonging to a c=-2 logarithmic conformal field theory.

Cite

@article{arxiv.hep-th/0203105,
  title  = {A c=-2 boundary changing operator for the Abelian sandpile},
  author = {Philippe Ruelle},
  journal= {arXiv preprint arXiv:hep-th/0203105},
  year   = {2015}
}

Comments

5 pages, 1 figure, revtex4; comments added and Eq.(11) corrected, published version

R2 v1 2026-07-22T15:09:36.260Z