Fuzzy de Sitter space-times via coherent states quantization
نویسنده
چکیده
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 SO0(1, 2) and SO0(1, 4). The continuous limit at infinite spins is examined.
منابع مشابه
Coherent states and quantization of the particle motion on the line, on the circle, on 1 + 1-de Sitter space-time and of more general systems
We describe a quantization procedure based on adapted coherent states. This scheme could reveal itself as an efficient tool for quantizing physical systems for which more traditional methods are uneasy to implement. The procedure is illustrated by simple examples like the wellknown quantization of the particle motion on the line and the yet problematic quantization of the particle motion on the...
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