Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension
High Energy Physics - Theory
2018-10-12 v1 General Relativity and Quantum Cosmology
Abstract
We consider a model of noncommutative gravity that is based on a spacetime with broken local SO(2,3) symmetry. We show that the torsion-free version of this model is contained within the framework of the Lorentz-violating Standard-Model Extension. We analyze in detail the relation between the torsion-free, quadratic limits of the broken SO(2,3) model and the Standard-Model Extension. As part of the analysis,we construct the relevant geometric quantities to quadratic order in the metric perturbation around a flat background.
Keywords
Cite
@article{arxiv.1810.05136,
title = {Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension},
author = {Quentin G. Bailey and Charles D. Lane},
journal= {arXiv preprint arXiv:1810.05136},
year = {2018}
}
Comments
10 pages, accepted in Symmetry