Fuzzy de Sitter space-times via coherent states quantization

Details Fuzzy de Sitter space-times via coherent states quantization Fuzzy de Sitter space-times via coherent states quantization

2006-10-26

arxiv.org/abs/quant-ph/0610222v1

Dans Proceedings of the XXVIth Colloquium on Group Theorical Methods in Physics (A Paraitre) - XXVIth Colloquium on Group Theo

Physics

Quantum Physics

Scientific paper

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.

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