THE XY-MODEL ON A DYNAMICAL RANDOM LATTICE

We study the XY model on a lattice with fluctuating connectivity. The expectation is that at an appropriate critical point such a system cor responds to a compactified boson coupled to two-dimensional quantum gr avity. Our simulations focus, in particular, on the important topologi cal features of the system. The results lend strong support to the two -phase structure predicted on the basis of analytical calculations. A careful finite-size scaling analysis yields estimates for the scaling exponents in the low-temperature phase.