MATTER FIELDS WITH C GREATER-THAN 1 COUPLED TO 2D GRAVITY

We solve a class of branched Polymer models coupled to spin systems an d show that they have no phase transition and are either always magnet ized or never magnetized depending on the branching weights. By compar ing these results with numerical simulations of two-dimensional quantu m gravity coupled to matter fields with central charge c we provide ev idence that for c sufficiently large (c greater-than-or-equal-to 12) t hese models are effectively described by branched polymers. Moreover, the numerical results indicate a remarkable universality in the influe nce on the geometry of surfaces due to the interaction with matter. Fo r spin systems this influence only depends on the total central charge .