Relating Noncommutative SO(2,3)★ Gravity to the Lorentz-Violating Standard-Model Extension
Physics Department, Embry-Riddle Aeronautical University, Prescott, AZ 86301, USA
Department of Physics, Berry College, Mount Berry, GA 30149, USA
IU Center for Spacetime Symmetries, Indiana University, Bloomington, IN 47405, USA
Author to whom correspondence should be addressed.
Received: 3 September 2018 / Revised: 1 October 2018 / Accepted: 3 October 2018 / Published: 11 October 2018
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.
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Bailey, Q.G.; Lane, C.D. Relating Noncommutative SO(2,3)★ Gravity to the Lorentz-Violating Standard-Model Extension. Symmetry 2018, 10, 480.
Bailey QG, Lane CD. Relating Noncommutative SO(2,3)★ Gravity to the Lorentz-Violating Standard-Model Extension. Symmetry. 2018; 10(10):480.
Bailey, Quentin G.; Lane, Charles D. 2018. "Relating Noncommutative SO(2,3)★ Gravity to the Lorentz-Violating Standard-Model Extension." Symmetry 10, no. 10: 480.
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