Exact interface model for wetting in the planar Ising model

At the wetting transition in the two-dimensional Ising model the long contour (interface) gets depinned from the substrate. It is found that on sufficiently large length scales the statistics of the long contour are described by a unique probability measure corresponding to a continuous ''interface model'' with an interface binding "potential'' given by a Dirac delta function supported on the substrate. A lattice solid-on-solid model is shown to give similar results. [S1063-651X(99)51010-6].