MINIMAL DYNAMICAL TRIANGULATIONS OF RANDOM SURFACES

We introduce and investigate numerically a minimal class of dynamical triangulations of two-dimensional gravity on the sphere in which only vertices of order five, six or seven are permitted. We show firstly th at this restriction of the local coordination number, or equivalently intrinsic scalar curvature, leaves intact the fractal structure charac teristic of generic dynamically triangulated random surfaces. Furtherm ore the Ising model coupled to minimal two-dimensional gravity still p ossesses a continuous phase transition. The critical exponents of this transition correspond to the usual KPZ exponents associated with coup ling a central charge c = 1/2 model to two-dimensional gravity.