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Paper   IPM / Physic / 11162
School of Physics
  Title:   Boundary Conformal Field Theories and Loop Models
  Author(s):  M.A. Rajabpour
  Status:   Published
  Journal: J. Phys. A: Math. Gen.
  Vol.:  42
  Year:  2009
  Pages:   345004
  Supported by:  IPM
  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.

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