hrvatski jezikClear Cookie - decide language by browser settings

Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis

Jurman, Danijel (2019) Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis. Fortschritte der Physik, 67 (4). pp. 1-8. ISSN 0015-8208

PDF - Accepted Version - article
Download (215kB) | Preview


We consider the Lie group generated by the Lie algebra of kappa-Minkowski space. Imposing the invariance of the metric under the pull-back of diffeomorphisms induced by right translations in the group, we show that a unique right invariant metric is associated with this group. This metric coincides with the metric of de Sitter space-time. We analyze the structure of unitary representations of the group which are relevant for the realization of the non-commutative κ- Minkowski space by embedding into (2D−1)- dimensional Heisenberg algebra. Using a suitable set of generalized coherent states, we select the particular Hilbert space and realize the non-commutative kappa-Minkowski space as an algebra of the Hilbert-Schmidt operators. We define dequantization map and fuzzy variant of the Laplace-Beltrami operator such that dequantization map relates fuzzy eigenvectors with the eigenfunctions of the Laplace-Beltrami operator on the half of de Sitter space-time.

Item Type: Article
Uncontrolled Keywords: fuzzy/non‐commutative de Sitter space ; kappa‐Minkowski space ; matrix geometry
Subjects: NATURAL SCIENCES > Mathematics > Geometry and Topology
NATURAL SCIENCES > Physics > General and Classical Physics
NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Generalizirana geometrija i simetrije-GGSymmLarisa JonkeIP-2014-09-3258HRZZ
Ruđer Bošković Institute: Twinning for a step forward of the Theoretical Physics Division-RBI-T-WINNINGFabrizio NESTI692194EK
Depositing User: Danijel Jurman
Date Deposited: 14 Dec 2020 09:53
DOI: 10.1002/prop.201800061

Actions (login required)

View Item View Item


Downloads per month over past year

Increase Font
Decrease Font
Dyslexic Font