Adsorption-Transition of Branched Polymers at Surfaces: Superuniversality of the Crossover Exponent

Exploiting the supersymmetric connection between the statistics of randomly branched polymers and the problem of the Yang-Lee edge singularity, we propose the superuniversality of the crossover exponent of the adsorption-transition = 1/2 independent of the spatial dimension. This conjecture is based on the exactness of this relation at several dimensions and up to second order in the e-expansion.