On the fractal structure of two-dimensional quantum gravity

Abstract

We provide evidence that the Hausdorff dimension is 4 and the spectral dimension is 2 for two-dimensional quantum gravity coupled the matter with a central charge $c \leq 1$. For $c > 1$ the Hausdorff dimension and the spectral dimension monotonously decreases to 2 and 1, respectively.Comment: 30 pages, postscript, including 11 figures, csh file.name should uudecode et