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

Symmetry

CharlesD. Lane¹  QuentinG. Bailey² 

[1] Department of Physics, Berry College, Mount Berry, GA 30149, USA;Physics Department, Embry-Riddle Aeronautical University, Prescott, AZ 86301, USA;

关键词: Lorentz violation;    noncommutative geometry;    gravity;   

DOI  :  10.3390/sym10100480

来源: DOAJ

【 摘 要 】

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 (SME). 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.

【 授权许可】

Unknown