Differential structure on the κ-Minkowski spacetime from twist

@inproceedings{Kim2009DifferentialSO,
  title={Differential structure on the κ-Minkowski spacetime from twist},
  author={Hyeong-Chan Kim and Youngone Lee and Chaiho Rim and Jae Hyung Yee},
  year={2009}
}
Abstract We study four-dimensional κ -Minkowski spacetime constructed by the twist deformation of U ( igl ( 4 , R ) ) . We demonstrate that the differential structure of such twist-deformed κ -Minkowski spacetime is closed in four dimensions contrary to the construction of κ -Poincare bicovariant calculus which needs an extra fifth dimension. Our construction holds in arbitrary dimensional spacetimes. 

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