English

Boundary conformal field theories and loop models

Statistical Mechanics 2015-05-13 v2 Other Condensed Matter

Abstract

We propose a systematic method to extract conformal loop models for rational conformal field theories (CFT). Method is based on defining an ADE model for boundary primary operators by using the fusion matrices of these operators as adjacency matrices. These loop models respect the conformal boundary conditions. We discuss the loop models that can be extracted by this method for minimal CFTs and then we will give dilute O(n) loop models on the square lattice as examples for these loop models. We give also some proposals for WZW SU(2) models.

Keywords

Cite

@article{arxiv.0808.0100,
  title  = {Boundary conformal field theories and loop models},
  author = {M. A. Rajabpour},
  journal= {arXiv preprint arXiv:0808.0100},
  year   = {2015}
}

Comments

23 Pages, major changes! title changed

R2 v1 2026-06-21T11:06:43.177Z