dorsal/arxiv
View SchemaFuzzy de Sitter space-times via coherent states quantization
| Authors | Jean-Pierre Gazeau, Jihad Mourad, Julien Queva |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610222 |
| URL | https://arxiv.org/abs/quant-ph/0610222 |
| Journal | Dans Proceedings of the XXVIth Colloquium on Group Theorical Methods in Physics (A Paraitre) - XXVIth Colloquium on Group Theorical Methods in Physics, New-York : \'Etats-Unis d'Am\'erique (2006) |
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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"abstract": "A construction of the 2d and 4d fuzzy de Sitter hyperboloids is carried out\nby using a (vector) coherent state quantization. We get a natural\ndiscretization of the dS \"time\" axis based on the spectrum of Casimir operators\nof the respective maximal compact subgroups SO(2) and SO(4) of the de Sitter\ngroups SO\\_0(1,2) and SO\\_0(1,4). The continuous limit at infinite spins is\nexamined.",
"arxiv_id": "quant-ph/0610222",
"authors": [
"Jean-Pierre Gazeau",
"Jihad Mourad",
"Julien Queva"
],
"categories": [
"quant-ph",
"gr-qc",
"math-ph",
"math.MP"
],
"journal_ref": "Dans Proceedings of the XXVIth Colloquium on Group Theorical\n Methods in Physics (A Paraitre) - XXVIth Colloquium on Group Theorical\n Methods in Physics, New-York : \\\u0027Etats-Unis d\u0027Am\\\u0027erique (2006)",
"title": "Fuzzy de Sitter space-times via coherent states quantization",
"url": "https://arxiv.org/abs/quant-ph/0610222"
},
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