Relating Noncommutative SO(2,3)★ Gravity to the Lorentz-Violating Standard-Model Extension
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 be...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-10-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2073-8994/10/10/480 |
| Summary: | 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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| ISSN: | 2073-8994 |