English

Quantum Gravity as a Multitrace Matrix Model

High Energy Physics - Theory 2017-11-22 v1 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1706.07724,
  title  = {Quantum Gravity as a Multitrace Matrix Model},
  author = {Badis Ydri and Cherine Soudani and Ahlam Rouag},
  journal= {arXiv preprint arXiv:1706.07724},
  year   = {2017}
}

Comments

19 pages, 9 figures, 62 references

R2 v1 2026-06-22T20:27:48.497Z