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Fuzzy de Sitter space-times via coherent states quantization

Jean-Pierre Gazeau·Jihad Mourad·Julien Queva
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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.

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Jean-Pierre Gazeau, Jihad Mourad, Julien Queva. 2006-10-26. Fuzzy de Sitter space-times via coherent states quantization. https://arxiv.org/abs/quant-ph/0610222

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