Laplacian on fuzzy de Sitter space

DOI10.1088/1361-6382/ac6133zbMath1496.83033arXiv2111.07391OpenAlexW3213933276MaRDI QIDQ5863457

Maja Burić, Duško Latas, Bojana Brkić

Publication date: 1 June 2022

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07391

zbMATH Keywords

noncommutative geometrymodels of quantum gravityde Sitter cosmology

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Relativistic cosmology (83F05) Spectrum, resolvent (47A10) Quantization of the gravitational field (83C45) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of noncommutative geometry in general relativity (83C65) Exact solutions to problems in general relativity and gravitational theory (83C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (2)

The Snyder-de Sitter scalar \(\varphi_\star^4\) quantum field theory in \(D = 2\) ⋮ Cosmological space-times with resolved big bang in Yang-Mills matrix models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harmonic analysis on the \(n\)-dimensional Lorentz group and its application to conformal quantum field theory
• Gauge fields on noncommutative geometries with curvature
• Unitary representations of the (4+1)-de Sitter group on irreducible representation spaces of the Poincaré group
• The fuzzy sphere
• Quantum mechanics on theh-deformed quantum plane
• Propagator on theh-deformed Lobachevsky plane
• Group Theoretical Discussion of Relativistic Wave Equations
• Quantum Fields in Curved Space
• Applications of functional analysis and operator theory

This page was built for publication: Laplacian on fuzzy de Sitter space