Differential structure on the $\kappa$-Minkowski spacetime from twist

Abstract

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 $\kappa$-Poincaré bicovariant calculus which needs an extra fifth dimension. Our construction holds in arbitrary dimensional spacetimes.

8pages, no figures, references added,minor corrections

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Cited by in corpus (3)

• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Rainbow statistics
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra