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arxiv: quant-ph/0610222 · v1 · submitted 2006-10-26 · 🪐 quant-ph · gr-qc· math-ph· math.MP

Fuzzy de Sitter space-times via coherent states quantization

classification 🪐 quant-ph gr-qcmath-phmath.MP
keywords sittercoherentfuzzyquantizationaxiscarriedcasimircompact
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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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