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arXiv · 0808.2866

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

Hyeong-Chan Kim·Youngone Lee·Chaiho Rim·Jae Hyung Yee
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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 $κ$-Poincaré bicovariant calculus which needs an extra fifth dimension. Our construction holds in arbitrary dimensional spacetimes.

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Hyeong-Chan Kim, Youngone Lee, Chaiho Rim, Jae Hyung Yee. 2008-09-06. Differential structure on the $κ$-Minkowski spacetime from twist. https://doi.org/10.1016/j.physletb.2008.12.018

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