Differential structure on the $κ$-Minkowski spacetime from twist

Details Differential structure on the $κ$-Minkowski spacetime from twist Differential structure on the $κ$-Minkowski spacetime from twist

2008-08-21

arxiv.org/abs/0808.2866v2

Phys.Lett.B671:398-401,2009

Physics

High Energy Physics

High Energy Physics - Theory

8pages, no figures, references added,minor corrections

Scientific paper

10.1016/j.physletb.2008.12.018

We study four dimensional $\kappa$-Minkowski spacetime constructed by the twist deformation of $U(igl(4,R))$. We demonstrate that the differential structure of such twist-deformed $\kappa$-Minkowski spacetime is closed in four dimensions contrary to the construction of $\kappa$-Poincar\'{e} bicovariant calculus which needs an extra fifth dimension. Our construction holds in arbitrary dimensional spacetimes.

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