Space-time symmetries of noncommutative spaces

Calmet, Xavier (2005) Space-time symmetries of noncommutative spaces. Physical Review D, 71 (8). 085012. ISSN 1550-7998

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Abstract

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.

Item Type: Article
Additional Information: Article Number: 085012
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics
Depositing User: Xavier Calmet
Date Deposited: 06 Feb 2012 19:30
Last Modified: 13 Mar 2017 23:51
URI: http://sro.sussex.ac.uk/id/eprint/20951

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