title: Exact solution of the anisotropic special transition in the O(n) model in two dimensions.
abstract: The effect of surface exchange anisotropies is known to play an important role in magnetic critical and multicritical behavior at surfaces. We give an exact analysis of this problem in d=2 for the O(n) model using the Coulomb gas, conformal invariance, and integrability techniques. We obtain the full set of critical exponents at the anisotropic special transition-where the symmetry on the boundary is broken down to O(n1)xO(n-n1)--as a function of n1. We also obtain the full phase diagram and crossover exponents. Crucial in this analysis is a new solution of the boundary Yang-Baxter equations for loop models. The appearance of the generalization of Schramm-Loewner evolution SLE(kappa,rho) is also discussed.
authors.affiliation: Institut de Physique Théorique, CEA Saclay, 91191 Gif Sur Yvette, France.
authors.forename: Jérôme
authors.initials: J
authors.lastname: Dubail
authors.forename: Jesper Lykke
authors.initials: JL
authors.lastname: Jacobsen
authors.forename: Hubert
authors.initials: H
authors.lastname: Saleur