The deformation quantizations of the hyperbolic plane
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Publication:1028573
DOI10.1007/s00220-008-0697-9zbMath1170.53074arXiv0806.4741OpenAlexW2053621654MaRDI QIDQ1028573
Publication date: 6 July 2009
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.4741
Deformation quantization, star products (53D55) Contact manifolds (general theory) (53D10) Almost contact and almost symplectic manifolds (53D15)
Related Items (12)
Non-formal star-exponential on contracted one-sheeted hyperboloids ⋮ Convergent star products on cotangent bundles of Lie groups ⋮ Strict deformation quantization of locally convex algebras and modules ⋮ Equivalence of invariant star-products: the ``retract method ⋮ Fock representations and deformation quantization of Kähler manifolds ⋮ Disentanglement of topological and dynamical fields in 3d higher-spin theory within shifted homotopy approach ⋮ Twisted quadrics and algebraic submanifolds in \(\mathbb{R}^n\) ⋮ Higher spin gravities and presymplectic AKSZ models ⋮ Noncommutative deformations of locally symmetric Kähler manifolds ⋮ Group actions in deformation quantization ⋮ Explicit formulas for noncommutative deformations of ${\mathbb C}{P^N}$CPN and ${\mathbb C}{H^N}$CHN ⋮ Deformation quantization of the simplest Poisson orbifold
Cites Work
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- Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
- Weyl manifolds and deformation quantization
- Construction of gauge theories on curved noncommutative spacetime
- Universal deformation formulae, symplectic Lie groups and symmetric spaces
- Quantum mechanics in phase space
- Quantum Riemann surfaces. I: The unit disc
- Closed star products and cyclic cohomology
- Quantum Riemann surfaces. II: The discrete series
- Deformation theory and quantization. I: Deformations of symplectic structures
- Quantum Hall effect on the hyperbolic plane
- Parametrizing equivalence classes of invariant star products
- Topological approach to quantum surfaces
- Modular forms and differential operators
- On structure constants and fusion rules in the \(SL(2,\mathbb{C})/SU(2)\)-WZNW model
- Noncommutative geometry and matrix theory: Compactification on tori
- String theory and noncommutative geometry
- Non-commutative world-volume geometries: branes on SU(2) and fuzzy spheres
- D-branes and deformation quantization
- NCOS and D-branes in time-dependent backgrounds
- Strict quantization of solvable symmetric spaces
- Algebraic index theorem
- Open strings in Lie groups and associative products
- Quantization of multiply connected manifolds
- Strings in AdS3 and the SL(2,R) WZW model. I: The spectrum
- Holography and String Dynamics in Time-Dependent Backgrounds
- Symmetry, gravity and noncommutativity
- Quantized anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces
- Equivalence of star products
- Quantization of Kahler Manifolds. II
- Lectures on branes in curved backgrounds
- Isometric embeddings and noncommutative branes in homogeneous gravitational waves
- Noncommutative field theory on homogeneous gravitational waves
- ON THE GEOMETRY OF THE CHARACTERISTIC CLASS OF A STAR PRODUCT ON A SYMPLECTIC MANIFOLD
- Oscillatory integral formulae for left-invariant star products on a class of Lie groups
- Brane dynamics in background fluxes and non-commutative geometry
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