  In this note, we show how to relate the Schramm-Loewner Evolution processes
(SLE) to highest-weight representations of the Virasoro Algebra. The conformal
restriction properties of SLE that have been recently studied in the paper
arXiv:math.PR/0209343 by G. Lawler, O. Schramm and the second author play an
instrumental role. In this setup, various considerations from conformal field
theory can be interpreted and reformulated via SLE. This enables to make a
concrete link between the two-dimensional discrete critical systems from
statistical physics and conformal field theory.
