Conformal restriction, highest-weight representations and SLE
数学物理
2017-07-18 v3 math.MP
概率论
摘要
We show how to relate Schramm-Loewner Evolutions (SLE) to highest-weight representations of infinite dimensional Lie Algebras using the conformal restriction properties studied by Lawler, Schramm and Werner in the paper arXiv:math.PR/0209343. This confirms the prediction from theoretical physics and conformal field theory that two-dimensional critical systems are related to such degenerate representations.
引用
@article{arxiv.math-ph/0301018,
title = {Conformal restriction, highest-weight representations and SLE},
author = {Roland Friedrich and Wendelin Werner},
journal= {arXiv preprint arXiv:math-ph/0301018},
year = {2017}
}
备注
To appear in Comm. Math. Phys. These results were anounced in arXiv:math.PR/0209382