Work

Fuzzy de Sitter space

Year: 2018

Type: article

Abstract: We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $$\text {SO}(1,4)$$ in unitary irreducible representations. It was shown before that this fuzzy space has local frames with metrics that reduce, in the commutative limit, to the de Sitter metric. Here we determine spectra of the embedding coordinates for $$(\rho ,s=\frac{1}{2})$$ unitary irreducible representations of the principal continuous series of the $$\text {SO}(1,4)$$ . The result is obtained in the Hilbert space representation, but using representation theory it can be generalized to all representations of the principal continuous series.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-018-6432-6

Authors: Maja Burić, Duško Latas, Luka Nenadović

Institution: University of Belgrade

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: European Cooperation in Science and Technology, Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja

Award: G807440682