New multicritical matrix models and multicritical 2d CDT

TL;DR

This paper introduces multicritical Causal Dynamical Triangulations (CDT) models for 2D quantum gravity, connecting them to matrix models and branched polymers through a new scaling limit, enriching the understanding of quantum gravity phases.

Contribution

It establishes a link between multicritical CDT models and matrix models via a novel classical scaling limit, expanding the framework of 2D quantum gravity models.

Findings

Multicritical CDT models are a special case of generalized models.

The multicritical behavior matches that of branched polymers.

A new scaling limit connects matrix models to 2D quantum gravity.

Abstract

We define multicritical CDT models of 2d quantum gravity and show that they are a special case of multicritical generalized CDT models obtained from the new scaling limit, the so-called "classical" scaling limit, of matrix models. The multicritical behavior agrees with the multicritical behavior of the so-called branched polymers.