# Gravity and Random Surfaces on the Lattice - A Review

## TL;DR

This review discusses recent developments in lattice models of random surfaces and quantum gravity, highlighting key results especially in four dimensions, and explores their potential connections to real 4D gravity.

## Contribution

It provides a comprehensive overview of lattice approaches to quantum gravity and random surfaces across dimensions, emphasizing recent findings in four dimensions.

## Key findings

- Notable recent results in four-dimensional lattice quantum gravity.
- Discussion of the relationship between lattice models and real 4D gravity.
- Historical overview of lattice approaches to random surfaces.

## Abstract

We review recent work in the lattice approach to random surfaces and quantum gravity. Our task is made somewhat easier by some very interesting results, particularly in four dimensions, that have appeared recently and which are reported elsewhere in these proceedings. Inevitably, given the scope of the review and the limitations of space, the presentation will omit work of importance and be telegraphic in discussing work that is included, for which apologies are offered in advance. After the customary brief historical introduction we work our way in dimensional order from one up to four dimensions before closing with some remarks on the relation, if any, between the various lattice models and ``real'' 4D gravity.