Space-time symmetries of noncommutative spaces

Xavier Calmet
Phys. Rev. D 71, 085012 – Published 19 April 2005

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.

  • Received 17 November 2004

DOI:https://doi.org/10.1103/PhysRevD.71.085012

©2005 American Physical Society

Authors & Affiliations

Xavier Calmet

  • Department of Physics and Astronomy, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA

  • *Email address: calmet@physics.unc.edu

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Issue

Vol. 71, Iss. 8 — 15 April 2005

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