ADE and SLE
数学物理
2009-11-11 v2 统计力学
math.MP
摘要
We point out that the probability law of a single domain wall separating clusters in ADE lattice models in a simply connected domain is identical to that of corresponding chordal curves in the lattice O(n) and Q-state Potts models, for suitable n or Q. They are conjectured to be described in the scaling limit by chordal SLE(kappa) with kappa rational and >2. However in a multiply-connected domain the laws can differ from those for the corresponding O(n) or Potts model. The correspondence also sheds light on the scaling limit of multiple curves.
引用
@article{arxiv.math-ph/0610030,
title = {ADE and SLE},
author = {John Cardy},
journal= {arXiv preprint arXiv:math-ph/0610030},
year = {2009}
}
备注
14 pages. v.2: minor additions