# Quantum Gravity as a Multitrace Matrix Model

**Authors:** Badis Ydri, Cherine Soudani, Ahlam Rouag

arXiv: 1706.07724 · 2017-11-22

## TL;DR

This paper introduces a multitrace matrix model for quantum gravity that generalizes 2D models, enabling the study of emergent geometry, dimension growth, and topology change in a unified framework.

## Contribution

It proposes a novel multitrace matrix model that extends 2D quantum gravity to higher dimensions and complex topologies, capturing emergent geometric phenomena.

## Key findings

- Supports emergent geometry from matrix models
- Allows for dimension growth and topology change
- Generalizes discretized random surface models

## Abstract

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of 2D quantum gravity which works away from two dimensions and captures a large class of spaces admiting a finite spectral triple. These multitrace matrix models sustain emergent geometry as well as growing dimensions and topology change.

## Full text

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## Figures

13 figures with captions in the complete paper: https://tomesphere.com/paper/1706.07724/full.md

## References

62 references — full list in the complete paper: https://tomesphere.com/paper/1706.07724/full.md

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Source: https://tomesphere.com/paper/1706.07724