Analytical approaches to 2D CDT coupled to matter

TL;DR

This paper reviews recent analytical results on 2D Causal Dynamical Triangulations (CDT) coupled with matter, focusing on multicritical points and their relation to models like hard dimers, involving combinatorial enumeration.

Contribution

It synthesizes recent findings on multicritical points in CDT matrix models and their connection to matter models such as hard dimers, providing analytical insights.

Findings

Identification of multicritical points in CDT matrix models

Connection between multicritical points and hard dimer models

Solution to combinatorial counting problems for dimers on CDTs

Abstract

We review some recent results by Ambjorn et al. (1202.4435) and the authors (1202.4322,1203.5034) in which multicritical points of the CDT matrix model were found and in a particular example identified with a hard dimer model. This identification requires solving the combinatorial problem of counting configurations of dimers on CDTs.