Quantum $\kappa$-Poincar\'e Algebra from de Sitter Space of Momenta
High Energy Physics - Theory
2007-05-23 v1
Abstract
There is a growing number of physical models, like point particle(s) in 2+1 gravity or Doubly Special Relativity, in which the space of momenta is curved, de Sitter space. We show that for such models the algebra of space-time symmetries possesses a natural Hopf algebra structure. It turns out that this algebra is just the quantum -Poincar\'e algebra.
Keywords
Cite
@article{arxiv.hep-th/0411154,
title = {Quantum $\kappa$-Poincar\'e Algebra from de Sitter Space of Momenta},
author = {J. Kowalski-Glikman and S. Nowak},
journal= {arXiv preprint arXiv:hep-th/0411154},
year = {2007}
}
Comments
10 pages