XXV Workshop on Geometric Methods in Physics 2-8.07.2006

Julien QUEVA

Fuzzy de Sitter space-times via coherent state quantization

A construction of fuzzy de Sitter hyperboloids in $1+2$ and $1+4$ Minkowskian ambient spaces is carried out by using a (vector) coherent state quantization. The issue is 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 higher spins is examined