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19 April 2024
 
  » arxiv » math-ph/0301018

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Conformal restriction, highest-weight representations and SLE
Roland Friedrich ; Wendelin Werner ;
Date 14 Dec 2002
Subject Mathematical Physics; Probability | math-ph math.MP math.PR
AbstractWe 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.
Source arXiv, math-ph/0301018
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