The Ising model on a quenched ensemble of c=-5 gravity graphs

We study with Monte Carlo methods an ensemble of c= -5 gravity graphs, gene rated by coupling a conformal field theory with central charge c= -5 to two -dimensional quantum gravity. We measure the fractal properties of the ense mble, such as the string susceptibility exponent gamma(s) and the intrinsic fractal dimension d(H). We find gamma(s) = - 1.5(1) and d(H)= 3.36(4), in reasonable agreement with theoretical predictions. In addition, we study th e critical behavior of an Ising model on a quenched ensemble of the c= -5 g raphs and show that it agrees, within numerical accuracy, with theoretical predictions for the critical behavior of an Ising model coupled dynamically to two-dimensional quantum gravity, with a total central charge of the mat ter sector c = -5.