UNIVERSALITY OF HYPERCUBIC RANDOM SURFACES

We study universality properties of the Weingarten hyper-cubic random surfaces. Since a long time the model of hypercubic random surfaces wi th a local restriction forbidding surface self-bendings was thought to be in a different universality class from the unrestricted model defi ned on the full set of surfaces. In this paper we show that both model s in fact belong to the same universality class with the entropy expon ent gamma = 1/2 and differ by the finite size effects which are much m ore pronounced in the restricted model. (C) 1997 Elsevier Science B.V.