# Suppressing Curvature Fluctuations in Dynamical Triangulations

## TL;DR

This paper investigates a restricted class of triangulations in 2D quantum gravity, demonstrating that minimal triangulations preserve critical behavior and KPZ exponents when coupled with matter, through numerical and RG analyses.

## Contribution

It introduces minimal triangulations in dynamical triangulations and shows they maintain the critical properties of pure gravity and coupled Ising models.

## Key findings

- Minimal triangulations do not alter the critical behavior of pure gravity.
- The KPZ exponents remain valid for Ising models on minimal triangulations.
- The restriction simplifies the model without losing essential physics.

## Abstract

We study numerically the dynamical triangulation formulation of two-dimensional quantum gravity using a restricted class of triangulation, so-called minimal triangulations, in which only vertices of coordination number 5, 6, and 7 are allowed. A real-space RG analysis shows that for pure gravity (central charge c = 0) this restriction does not affect the critical behavior of the model. Furthermore, we show that the critical behavior of an Ising model coupled to minimal dynamical triangulations (c = 1/2) is still governed by the KPZ-exponents.