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arxiv: hep-th/0611175 · v3 · submitted 2006-11-16 · ✦ hep-th

kappa-deformed Spacetime From Twist

classification ✦ hep-th
keywords algebraspacetimehopfkappa-deformedkappa-minkowskiobtainsymmetrytwist
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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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