kappa-deformed Spacetime From Twist
High Energy Physics - Theory
2008-11-26 v3
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.
Keywords
Cite
@article{arxiv.hep-th/0611175,
title = {kappa-deformed Spacetime From Twist},
author = {Jong-Geon Bu and Hyeong-Chan Kim and Youngone Lee and Chang Hyon Vac and Jae Hyung Yee},
journal= {arXiv preprint arXiv:hep-th/0611175},
year = {2008}
}
Comments
revtex4, 7 pages, 1 figure, minor changes, references added