Fuzzy de Sitter space-times via coherent states quantization

J.-P. Gazeau 1 J. Mourad 2 J. Queva 2
1 APC - THEORIE
Institut für theoretische Physik, APC - UMR 7164 - AstroParticule et Cosmologie
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.
Type de document :
Communication dans un congrès
Joseph L Birman, Sultan Catto and Bogdan Nicolescu. XXVIth Colloquium on Group Theoretical Methods in Physics, Jun 2006, New-York, United States. Canopus Publishing Limited, pp.236-240, 2009


https://hal.archives-ouvertes.fr/hal-00109968
Contributeur : Jean-Pierre Gazeau <>
Soumis le : jeudi 26 octobre 2006 - 11:16:49
Dernière modification le : mardi 11 octobre 2016 - 13:25:46
Document(s) archivé(s) le : mardi 6 avril 2010 - 18:46:17

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J.-P. Gazeau, J. Mourad, J. Queva. Fuzzy de Sitter space-times via coherent states quantization. Joseph L Birman, Sultan Catto and Bogdan Nicolescu. XXVIth Colloquium on Group Theoretical Methods in Physics, Jun 2006, New-York, United States. Canopus Publishing Limited, pp.236-240, 2009. <hal-00109968>

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