\(\mathcal W\) geometry from Fedosov's deformation quantization
From MaRDI portal
Publication:1972282
DOI10.1016/S0393-0440(99)00044-3zbMath0955.53050arXivhep-th/9802023OpenAlexW2044368594MaRDI QIDQ1972282
Publication date: 6 June 2000
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9802023
String and superstring theories in gravitational theory (83E30) General relativity (83C99) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Deformation quantization, star products (53D55)
Related Items
On generalized Yang-Mills theories and extensions of the standard model in Clifford (tensorial) spaces, W ∞ -algebras in n complex dimensions and Kodaira–Spencer deformations: A symplectic approach, Deformation quantization of nonholonomic almost Kähler models and Einstein gravity, The algebraic index theorem and deformation quantization of Lagrange-Finsler and Einstein spaces, Lagrange–Fedosov nonholonomic manifolds, Chern-Simons hadronic bag from quenched large-\(N\) QCD, Scale relativity in Cantorian \(\mathcal E^{(\infty)}\) space and average dimensions of our world, Einstein gravity in almost Kähler and Lagrange-Finsler variables and deformation quantization, String with noncommutative world-sheet and stringy instantons, Spectral functionals, nonholonomic Dirac operators, and noncommutative Ricci flows, STRINGS AND MEMBRANES FROM EINSTEIN GRAVITY, MATRIX MODELS AND W∞ GAUGE THEORIES AS PATHS TO QUANTUM GRAVITY, BRANES AND QUANTIZATION FOR AN A-MODEL COMPLEXIFICATION OF EINSTEIN GRAVITY IN ALMOST KÄHLER VARIABLES, Fedosov quantization of Lagrange–Finsler and Hamilton–Cartan spaces and Einstein gravity lifts on (co) tangent bundles, The status and programs of scale relativity theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuum analogues of contragredient Lie algebras. (Lie algebras with a Cartan operator and nonlinear dynamical systems)
- Special geometry
- \(D=11\) supermembrane instantons, \(W_ \infty\) strings and the super Toda molecule.
- The logarithm of the derivative operator and higher spin algebras of \(W_{\infty{}}\) type
- Deformation theory and quantization. I: Deformations of symplectic structures
- Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation
- Fedosov *-products and quantum momentum maps
- Supersymmetric quantum theory and non-commutative geometry
- Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications
- The quaternionic geometry of four-dimensional conformal field theory
- Dressing operator approach to Moyal algebraic deformation of selfdual gravity
- A simple geometrical construction of deformation quantization
- Flat complex vector bundles, the Beltrami differential and \(W\)-algebras
- Noncommutative geometry and matrix theory: Compactification on tori
- Noncommutative geometry and spacetime gauge symmetries of string theory
- Deformation quantization of Poisson manifolds
- Some new integrable equations from the self-dual Yang-Mills equations
- The Lagrangian of a self-dual gravitational field as a limit of the SDYM Lagrangian.
- Deformation quantization and Nambu mechanics
- Deformations and renormalisations of \(W_{\infty}\)
- QUANTUM-DEFORMED GEOMETRY ON PHASE-SPACE
- Induced 4D self-dual quantum gravity: W algebraic approach
- SU(∞) (super)gauge theories and self-dual (super)gravity
- p-BRANES AS COMPOSITE ANTISYMMETRIC TENSOR FIELD THEORIES
- The generalized Moyal–Nahm and continuous Moyal–Toda equations
- W gravity, N=2 strings, and 2+2 SU*(∞) Yang–Mills instantons
- W ∞ -covariance of the Weyl–Wigner–Groenewold–Moyal quantization
- On Infinitesimal Symmetries of the Self-Dual Yang-Mills Equations
- Higher spin gauge theories in various dimensions
- On the principles of elementary quantum mechanics
- Four-dimensional avatars of two-dimensional RCFT
- From \(N=2\) strings to M-theory
