UNIVERSALITY OF THE MATRIX MODEL APPROACH TO 2-DIMENSIONAL QUANTUM-GRAVITY

Universality with respect to triangulations is investigated in the Hermitian one-matrix model approach to 2-D quantum gravity for a potential containing both even and odd terms, V(phi) = 1/2-phi-2 + (g3/3 square-root N)-phi-3 + g4/4N phi-4. With the use of analytical and numerical calculations, I find that the universality holds and the model describes pure gravity, which leads in the double scaling limit to coupled equations of Painleve type.