Conformal restriction, highest-weight representations and SLE

Details Conformal restriction, highest-weight representations and SLE Conformal restriction, highest-weight representations and SLE

2003-01-14

arxiv.org/abs/math-ph/0301018v3

Physics

Mathematical Physics

To appear in Comm. Math. Phys. These results were anounced in arXiv:math.PR/0209382

Scientific paper

10.1007/s00220-003-0956-8

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.

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