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Fuzzy de Sitter space-times via coherent states quantization
Gazeau J.-P., Mourad J., Queva J.
Dans GROUP THEORETICAL METHODS IN PHYSICS 2006 : Proceedings of the XXVI International Colloquium on Group Theoretical Methods in Physics (Group 26), held in New York, USA, 26 - 30 June 2006 - XXVIth Colloquium on Group Theoretical Methods in Physics, New-York : États-Unis (2006) - http://hal.archives-ouvertes.fr/hal-00109968
Physique/Physique Quantique
Physique/Physique mathématique
Mathématiques/Physique mathématique
Physique/Relativité Générale et Cosmologie Quantique
Fuzzy de Sitter space-times via coherent states quantization
J.-P. Gazeau ()1, J. Mourad1, J. Queva1
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
http://www.apc.univ-paris7.fr/
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
France
APC - THEORIE
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.
Anglais

GROUP THEORETICAL METHODS IN PHYSICS 2006 : Proceedings of the XXVI International Colloquium on Group Theoretical Methods in Physics (Group 26), held in New York, USA, 26 - 30 June 2006
internationale
Communications avec actes
2009
236-240
Canopus Publishing Limited
Joseph L Birman, Sultan Catto and Bogdan Nicolescu

XXVIth Colloquium on Group Theoretical Methods in Physics
26/06/2006
30/06/2006
New-York
États-Unis

Coherent states – quantization – non-commutative geometry – de Sitter space-time – Fuzzy manifolds
03.65.Ca, 03.65.Fd, 04.60.Pp, 02.40.Gh
ISBN 0-954946-8-4

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