kappa-deformed Spacetime From Twist
Phys.Lett.B665:95-99,2008 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-M...
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Zusammenfassung: | Phys.Lett.B665:95-99,2008 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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DOI: | 10.48550/arxiv.hep-th/0611175 |