Using conformal-invariance arguments in two dimensions, we identify the exact infinite series of basic surface conformal dimensions for polymers, checked by transfer-matrix calculations for the n=0 vector model on a strip. For a self-avoiding branched polymer of arbitrary and fixed topology, near a surface or a wedge, we give the exponent γ in two dimensions as a function of the topology and of the wedge opening angle.

• Received 19 August 1986

DOI:https://doi.org/10.1103/PhysRevLett.57.3179