Imposing causality on a matrix model

TL;DR

This paper presents a new matrix model for 2D Causal Dynamical Triangulations (CDT), simplifying the definition and employing advanced matrix techniques to facilitate analysis of quantum gravity models.

Contribution

It introduces a novel, simplified matrix model for 2D CDT that is equivalent to previous definitions and utilizes character expansion methods for study.

Findings

New simplified definition of 2D CDT

Equivalent to traditional CDT models

Employs character expansion for analysis

Abstract

We introduce a new matrix model that describes Causal Dynamical Triangulations (CDT) in two dimensions. In order to do so, we introduce a new, simpler definition of 2D CDT and show it to be equivalent to the old one. The model makes use of ideas from dually weighted matrix models, combined with multi-matrix models, and can be studied by the method of character expansion.