Quantized Nambu–Poisson manifolds and n-Lie algebras
From MaRDI portal
Publication:5255478
DOI10.1063/1.3503773zbMath1314.81149arXiv1001.3275OpenAlexW3098587174MaRDI QIDQ5255478
Christian Sämann, Richard J. Szabo, Joshua DeBellis
Publication date: 15 June 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.3275
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) Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Poisson algebras (17B63) Noncommutative geometry (à la Connes) (58B34)
Related Items
Higher (odd) dimensional quantum Hall effect and extended dimensional hierarchy, Lie 2-algebra models, Reduction of multisymplectic manifolds, GROUPOIDS, LOOP SPACES AND QUANTIZATION OF 2-PLECTIC MANIFOLDS, Current algebras, generalised fluxes and non-geometry, The infinite dimensional unital Nambu–Poisson algebra of order 3, TENSOR MODELS AND HIERARCHY OF n-ARY ALGEBRAS, SUPER TENSOR MODELS, SUPER FUZZY SPACES AND SUPER n-ARY TRANSFORMATIONS, Non-abelian action for multiple five-branes with self-dual tensors, Topological many-body states in quantum antiferromagnets via fuzzy supergeometry, Non-geometric fluxes, quasi-Hopf twist deformations, and nonassociative quantum mechanics, Chiral topological insulator on Nambu 3-algebraic geometry, Higher dimensional quantum Hall effect as A-class topological insulator, Cartan-Weyl 3-algebras and the BLG theory. II: Strong-semisimplicity and generalized Cartan-Weyl 3-algebras, \(G_{2}\)-structures and quantization of non-geometric M-theory backgrounds, Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra, Non-compact Hopf maps and fuzzy ultra-hyperboloids, Open multiple M2-branes I: Quantum geometry of the M5-brane in a \(C\)-field, BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS, Graded Hopf maps and fuzzy superspheres, \(SO(5)\) Landau models and nested Nambu matrix geometry, Matrix regularization of classical Nambu brackets and super \(p\)-branes, Quantized Nambu-Poisson manifolds in a 3-Lie algebra reduced model, Membrane sigma-models and quantization of non-geometric flux backgrounds, Non-commutative geometry in higher dimensional quantum hall effect as A-class topological insulator, Quantization of polysymplectic manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- General concept of quantization
- Nambu-Lie 3-algebras on fuzzy 3-manifolds
- Generalized Berezin quantization, Bergman metrics and fuzzy Laplacians
- Generalized abelian deformations: application to Nambu mechanics
- Fuzzy complex projective spaces and their star-products
- A note on the M2-M5 brane system and fuzzy spheres
- The M2-M5 brane system and a generalized Nahm's equation
- Quantization of flag manifolds and their supersymmetric extensions
- Algebraic structures on parallel M2 branes
- Deformation theory and quantization. I: Deformations of symplectic structures
- On foundation of the generalized Nambu mechanics
- Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
- On finite 4D quantum field theory in non-commutative geometry
- \(D\)-branes, monopoles and Nahm equations
- Brane dynamics from the Born-Infeld action
- Dielectric-branes
- Nambu quantum mechanics: a nonlinear generalization of geometric quantum mechanics
- Deformation quantization of Poisson manifolds
- Deformation quantization and Nambu mechanics
- Obstruction results in quantization theory
- KONTSEVICH'S UNIVERSAL FORMULA FOR DEFORMATION QUANTIZATION AND THE CAMPBELL–BAKER–HAUSDORFF FORMULA
- Hopf algebras for ternary algebras
- Generalized kappa-deformed spaces, star products and their realizations
- Lorentzian Lie n-algebras
- Quantization: Towards a comparison between methods
- COHERENT STATES AND KAHLER MANIFOLDS
- Cubic Matrix, Nambu Mechanics and Beyond
- Wess-Zumino-Witten model based on a nonsemisimple group
- Generalized Hamiltonian Dynamics
- Notes on the Super Nambu Bracket
- Noncommutative geometry of angular momentum space U(su(2))
- QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS
- Noncommutative field theory on homogeneous gravitational waves
- Quantization and unitary representations
- Open membranes in a constant \(C\)-field background and non-commutative boundary strings
- A noncommutative M-theory five-brane
- On spherical harmonics for fuzzy spheres in diverse dimensions