PhysRevD.71.085012.pdf (74.68 kB)
Space-time symmetries of noncommutative spaces
We define a noncommutative Lorentz symmetry for canonical noncommutative spaces. The noncommutative vector fields and the derivatives transform under a deformed Lorentz transformation. We show that the star product is invariant under noncommutative Lorentz transformations. We then apply our idea to the case of actions obtained by expanding the star product and the fields taken in the enveloping algebra via the Seiberg-Witten maps and verify that these actions are invariant under these new noncommutative Lorentz transformations. We finally consider general coordinate transformations and show that the metric is undeformed.
History
Publication status
- Published
File Version
- Published version
Journal
Physical Review DISSN
1550-7998Publisher
American Physical SocietyExternal DOI
Issue
8Volume
71Page range
085012Department affiliated with
- Physics and Astronomy Publications
Notes
Article Number: 085012Full text available
- Yes
Peer reviewed?
- Yes