Classical space-time geometry in the IKKT matrix model
Abstract
We discuss the reconstruction of generic 3+1-dimensional space-time geometries from covariant quantum spaces as backgrounds in the IKKT matrix model. An explicit recipe to realize generic classical geometries is provided. Even though this typically entails some higher-spin contributions, these do not significantly modify the physical content of the model in the weak gravity regime. This justifies the framework for emergent gravity given by the semi-classical matrix model, supplemented by an induced Einstein-Hilbert action which arises in the presence of fuzzy extra dimensions.
Cite
@article{arxiv.2204.05679,
title = {Classical space-time geometry in the IKKT matrix model},
author = {Harold C. Steinacker},
journal= {arXiv preprint arXiv:2204.05679},
year = {2022}
}
Comments
23 pages. Contribution to the proceedings of the Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity". V2: significantly improved description of higher spin contributions