Conformal restriction, highest-weight representations and SLE
Friedrich, Roland ; Werner, Wendelin
arXiv, 0301018 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-01-14
Classification:  Mathematical Physics,  Mathematics - Probability 
@article{0301018,
     author = {Friedrich, Roland and Werner, Wendelin},
     title = {Conformal restriction, highest-weight representations and SLE},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301018}
}

Friedrich, Roland; Werner, Wendelin. Conformal restriction, highest-weight representations and SLE. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301018/