Weak associativity and deformation quantization
From MaRDI portal
Publication:314850
DOI10.1016/j.nuclphysb.2016.07.004zbMath1345.81103arXiv1606.01409OpenAlexW2419344802MaRDI QIDQ314850
Publication date: 16 September 2016
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.01409
Quantization in field theory; cohomological methods (81T70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Noncommutative geometry methods in quantum field theory (81T75) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Poisson algebras (17B63) Quaternion and other division algebras: arithmetic, zeta functions (11R52)
Related Items
Symplectic embeddings, homotopy algebras and almost Poisson gauge symmetry, ‐Bootstrap Approach to Non‐Commutative Gauge Theories, \(G_{2}\)-structures and quantization of non-geometric M-theory backgrounds, Monopole star products are non-alternative, Nearly associative deformation quantization
Cites Work
- Unnamed Item
- Unnamed Item
- Non-associative deformations of geometry in double field theory
- Nonassociative geometry in quasi-Hopf representation categories. II: Connections and curvature.
- (Non-)commutative closed string on T-dual toroidal backgrounds
- T-duality and closed string non-commutative (doubled) geometry
- Star products made (somewhat) easier
- Deformation theory and quantization. I: Deformations of symplectic structures
- Non-commutative open string and D-brane
- D-branes and deformation quantization
- Deformation quantization with traces
- Towards a theory of nonassociative gravity
- States in non-associative quantum mechanics: uncertainty relations and semiclassical evolution
- Membrane sigma-models and quantization of non-geometric flux backgrounds
- Deformation quantization of Poisson manifolds
- Nonassociative geometry in quasi-Hopf representation categories. I: Bimodules and their internal homomorphisms
- Noncommutative \( {{\mathbb{R}}}^d \) via closed star product
- Nonassociativity, Malcev algebras and string theory
- A hydrogen atom on curved noncommutative space
- Non-geometric fluxes, quasi-Hopf twist deformations, and nonassociative quantum mechanics
- Nonassociative gravity in string theory?
- Non-geometric fluxes, asymmetric strings and nonassociative geometry
- Ponzano–Regge model revisited: III. Feynman diagrams and effective field theory
- BRST quantization of quasisymplectic manifolds and beyond
- Quantization maps, algebra representation, and non-commutative Fourier transform for Lie groups
- Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity
- Nonassociative star product deformations for D-brane world-volumes in curved backgrounds.
