Deformed relativistic and nonrelativistic symmetries on canonical noncommutative spaces

Details Deformed relativistic and nonrelativistic symmetries on canonical noncommutative spaces Deformed relativistic and nonrelativistic symmetries on canonical noncommutative spaces

2006-04-23

arxiv.org/abs/hep-th/0604162v2

Phys.Rev.D75:045008,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX, shortened, version appearing in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.75.045008

We study the general deformed conformal-Poincare (Galilean) symmetries consistent with relativistic (nonrelativistic) canonical noncommutative spaces. In either case we obtain deformed generators, containing arbitrary free parameters, which close to yield new algebraic structures. We show that a particular choice of these parameters reproduces the undeformed algebra. The modified coproduct rules and the associated Hopf algebra are also obtained. Finally, we show that for the choice of parameters leading to the undeformed algebra, the deformations are represented by twist functions.

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