Fuzzy de Sitter space-times via coherent states quantization
Jean-Pierre Gazeau, Jihad Mourad, Julien Queva
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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