Noncommutative space-time models
High Energy Physics - Theory
2009-11-11 v1
Abstract
The FRT quantum Euclidean spaces are formulated in terms of Cartesian generators. The quantum analogs of N-dimensional Cayley-Klein spaces are obtained by contractions and analytical continuations. Noncommutative constant curvature spaces are introduced as a spheres in the quantum Cayley-Klein spaces. For N=5 part of them are interpreted as the noncommutative analogs of (1+3) space-time models. As a result the quantum (anti) de Sitter, Newton, Galilei kinematics with the fundamental length and the fundamental time are suggested.
Cite
@article{arxiv.hep-th/0507009,
title = {Noncommutative space-time models},
author = {N. A. Gromov and V. V. Kuratov},
journal= {arXiv preprint arXiv:hep-th/0507009},
year = {2009}
}
Comments
8 pages; talk given at XIV International Colloquium of Integrable Systems, Prague, June 16-18, 2005