par Calmet, Xavier
Référence Physical review. D, Particles, fields, gravitation, and cosmology, 71, 8, page (1-4), 085012
Publication Publié, 2005-04
Article révisé par les pairs
Résumé : 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. © 2005 The American Physical Society.