Intrinsic Geometric Structure of c=-2 Quantum Gravity

Abstract

We couple c=-2 matter to 2-dimensional gravity within the framework of dynamical triangulations. We use a very fast algorithm, special to the c=-2 case, in order to test scaling of correlation functions defined in terms of geodesic distance and we determine the fractal dimension d_H with high accuracy. We find d_H=3.58(4), consistent with a prediction coming from the study of diffusion in the context of Liouville theory, and that the quantum space-time possesses the same fractal properties at all distance scales similarly to the case of pure gravity.

Comments: 3 pages, 4 figures, to appear in Lattice 97 proceedings Nucl.Phys.B(Proc.Suppl.)