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arXiv · 1810.05136

Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension

Quentin G. Bailey·Charles D. Lane
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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.

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Quentin G. Bailey, Charles D. Lane. 2018-10-11. Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension. https://doi.org/10.3390/sym10100480

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