Next steps in understanding the asymptotics of $3d$ quantum gravity

TL;DR

This paper uses combinatorial methods and random matrix theory to establish a central limit theorem, providing new insights into the asymptotic behavior of three-dimensional quantum gravity models.

Contribution

It introduces a novel combinatorial and probabilistic framework to analyze 3D quantum gravity, advancing understanding of its asymptotic properties.

Findings

Proves a central limit theorem for 3D quantum gravity models

Provides new insights into the asymptotic structure of causally triangulated 3D quantum gravity

Links combinatorial approaches with random matrix theory in quantum gravity context

Abstract

Based on a combinatorial approach and random matrix theory, we show a central limit theorem that gives important insight into causally triangulated $3d$ quantum gravity.