Fuzzy de Sitter space-times via coherent states quantization
Quantum Physics
2007-12-17 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
A construction of the 2d and 4d fuzzy de Sitter hyperboloids is carried out by using a (vector) coherent state quantization. We get a natural discretization of the dS "time" axis based on the spectrum of Casimir operators of the respective maximal compact subgroups SO(2) and SO(4) of the de Sitter groups SO\_0(1,2) and SO\_0(1,4). The continuous limit at infinite spins is examined.
Cite
@article{arxiv.quant-ph/0610222,
title = {Fuzzy de Sitter space-times via coherent states quantization},
author = {Jean-Pierre Gazeau and Jihad Mourad and Julien Queva},
journal= {arXiv preprint arXiv:quant-ph/0610222},
year = {2007}
}