模糊de Sitter时空相干态量子化
Fuzzy de Sitter space-times via coherent states quantization
摘要:
利用矢量相干态量子化方法构造了二维和四维模糊de Sitter双曲面。基于deSitter群SO0(1,2)和SO0(1,4)的极大紧子群SO(2)和SO(4)的Casimir算子谱,我们得到了dS“时间”轴的自然离散化.研究了无限自旋下的连续极限。
英文摘要:
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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