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Differential structure on the kappa-Minkowski spacetime from twist
classification
✦ hep-th
keywords
kappaminkowskispacetimeconstructiondifferentialdimensionalfourstructure
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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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