Barriers in Quantum Gravity

TL;DR

This paper reviews recent advances in understanding two major barriers in quantum gravity: the $c > 1$ barrier in 2D quantum gravity and the $D > 2$ barrier in higher-dimensional Euclidean Einstein-Hilbert gravity.

Contribution

It provides an overview of recent progress addressing these fundamental barriers in quantum gravity theories.

Findings

Insights into the $c > 1$ barrier in 2D quantum gravity

Progress on the $D > 2$ barrier in Euclidean Einstein-Hilbert gravity

Clarification of the limitations in current quantum gravity models

Abstract

I discuss recent progress in our understanding of two barriers in quantum gravity: $c > 1$ in the case of 2d quantum gravity and $D > 2$ in the case of Euclidean Einstein-Hilbert gravity formulated in space-time dimensions $D >2$.