BOUNDARY CRITICAL-BEHAVIOR OF D = 2 SELF-AVOIDING WALKS ON CORRELATEDAND UNCORRELATED VACANCIES

In this paper we present exact results for the critical exponents of i nteracting self-avoiding walks with ends at a linear boundary. Effecti ve interactions are mediated by vacancies, correlated and uncorrelated , on the dual lattice. By choosing different boundary conditions, seve ral ordinary and special regimes can be described in terms of clusters geometry and of critical and low-temperature properties of the O(n = 1) model. In particular, the problem of boundary exponents at the THET A-point is fully solved, and implications for THETA-point universality are discussed. The surface crossover exponent at the special transiti on of noninteracting self-avoiding walks is also interpreted in terms of percolation dimensions.