Star product realizations of \(\kappa \)-Minkowski space

DOI10.4171/JNCG/129zbMath1282.46063arXiv1104.0206OpenAlexW3099494344MaRDI QIDQ380266

Andrzej Sitarz, Bergfinnur Durhuus

Publication date: 13 November 2013

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0206

zbMATH Keywords

deformationquantizationstar product\(\kappa\)-Minkowski spacequantum Poincaré algebra

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (17)

Toward the classification of differential calculi on \(\kappa\)-Minkowski space and related field theories ⋮ A modular spectral triple for \(\kappa\)-Minkowski space ⋮ Field theories on \(\rho\)-deformed Minkowski space-time ⋮ Fuzzy de Sitter Space from kappa‐Minkowski Space in Matrix Basis ⋮ Gauge theories on quantum spaces ⋮ Quantum causality in κ-Minkowski and related constraints ⋮ Involutive representations of coordinate algebras and quantum spaces ⋮ Lie-Poisson gauge theories and \(\kappa\)-Minkowski electrodynamics ⋮ The Weyl–Mellin quantization map ⋮ Algebraic structures in κ-Poincaré invariant gauge theories ⋮ The κ-Poincaré group on a C∗-level ⋮ \(\kappa\)-Poincaré invariant orientable field theories at one-loop ⋮ \(\kappa\)-Minkowski-deformation of U(1) gauge theory ⋮ Single extra dimension from \(\kappa\)-Poincaré and gauge invariance ⋮ Gauge theories on \(\kappa\)-Minkowski spaces: twist and modular operators ⋮ The \(\kappa\)-(A)dS noncommutative spacetime ⋮ Quantum causality constraints on kappa-Minkowski space-time

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compact \(\kappa \)-deformation and spectral triples
• Quantum spacetime: a disambiguation
• Poincaré covariance and \(\kappa \)-Minkowski spacetime
• Moyal planes are spectral triples
• Bornological quantum groups
• New realizations of Lie algebra kappa-deformed Euclidean space
• Smooth group representations on bornological vector spaces.
• Die Eindeutigkeit der Schrödingerschen Operatoren
• New quantum Poincaré algebra and \(\kappa\)-deformed field theory
• Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
• SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE
• Spectral geometry of κ-Minkowski space
• κ -Minkowski representations on Hilbert spaces
• Deformation quantization for actions of 𝑅^{𝑑}

This page was built for publication: Star product realizations of \(\kappa \)-Minkowski space