Fuzzy de Sitter space-times via coherent states quantization

J.-P. Gazeau 1 J. Mourad 2 J. Queva 2
1 APC - THEORIE
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.
Document type :
Conference papers
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
Contributor : Jean-Pierre Gazeau <>
Submitted on : Thursday, October 26, 2006 - 11:16:49 AM
Last modification on : Thursday, April 23, 2015 - 2:13:48 PM

Identifiers

Collections

Citation

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>

Export

Share

Metrics

Consultation de
la notice

128

Téléchargement du document

39