COVARIANT STAR PRODUCT ON SYMPLECTIC AND POISSON SPACE–TIME MANIFOLDS

DOI10.1142/S0217751X10049785zbMath1194.83035arXiv1001.0503MaRDI QIDQ3590706

Markku Oksanen, Masud Chaichian, Gheorghe Zet, Anca Tureanu

Publication date: 13 September 2010

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0503

zbMATH Keywords

noncommutative geometrysymplectic manifoldsnoncommutative gravitycovariant star-product

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization of the gravitational field (83C45) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) Methods of noncommutative geometry in general relativity (83C65) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (9)

Seiberg-Witten map with Lorentz-invariance and gauge-covariant star product ⋮ 2D Poisson sigma models with gauged vectorial supersymmetry ⋮ 2D sigma models and differential Poisson algebras ⋮ Gauge theories on quantum spaces ⋮ Covariant star product on semi-conformally flat noncommutative Calabi–Yau manifolds and noncommutative topological index theorem ⋮ A minimal framework for non-commutative quantum mechanics ⋮ Field theory with coordinate dependent noncommutativity ⋮ Moyal deformations of Clifford gauge theories of gravity ⋮ Gravity in extreme regions based on noncommutative quantization of teleparallel gravity

Cites Work

• Semiclassical differential structures
• Star products made (somewhat) easier
• Universal star products
• A path integral approach to the Kontsevich quantization formula.
• Deformation quantization of Poisson manifolds
• Diffeomorphism covariant star products and noncommutative gravity
• On the geometric quantization of Poisson manifolds
• Poisson Algebra of Differential Forms
• Noncommutative field theory
• Quantum field theory on noncommutative spaces
• Unnamed Item
• Unnamed Item

This page was built for publication: COVARIANT STAR PRODUCT ON SYMPLECTIC AND POISSON SPACE–TIME MANIFOLDS