kappa-deformed Spacetime From Twist

Details kappa-deformed Spacetime From Twist kappa-deformed Spacetime From Twist

2006-11-16

arxiv.org/abs/hep-th/0611175v3

Phys.Lett.B665:95-99,2008

Physics

High Energy Physics

High Energy Physics - Theory

revtex4, 7 pages, 1 figure, minor changes, references added

Scientific paper

10.1016/j.physletb.2008.03.058

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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