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arXiv · hep-th/0611175

kappa-deformed Spacetime From Twist

Jong-Geon Bu·Hyeong-Chan Kim·Youngone Lee·Chang Hyon Vac·Jae Hyung Yee
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Abstract

We twist the Hopf algebra of igl(n,R) to obtain the kappa-deformed spacetime coordinates. Coproducts of the twisted Hopf algebras are explicitly given. The kappa-deformed spacetime obtained this way satisfies the same commutation relation as that of the conventional kappa-Minkowski spacetime, but its Hopf algebra structure is different from the well known kappa-deformed Poincare algebra in that it has larger symmetry algebra than the kappa-Minkowski case. There are some physical models which consider this symmetry. Incidentally, we obtain the canonical (theta-deformed) non-commutative spacetime from canonically twisted igl(n,R) Hopf algebra.

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Jong-Geon Bu, Hyeong-Chan Kim, Youngone Lee, Chang Hyon Vac, Jae Hyung Yee. 2008-04-03. kappa-deformed Spacetime From Twist. https://doi.org/10.1016/j.physletb.2008.03.058

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