Gauge theories in noncommutative homogeneous Kähler manifolds
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Publication:2924889
DOI10.1063/1.4893982zbMath1306.81304arXiv1403.5727OpenAlexW2012367738MaRDI QIDQ2924889
Toshiya Suzuki, Yoshiaki Maeda, Hiroshi Umetsu, Akifumi Sako
Publication date: 20 October 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.5727
Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75) Kähler manifolds (32Q15) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)
Related Items (4)
Gauge theories on noncommutative ℂPN and Bogomol’nyi-Prasad-Sommerfield-like equations ⋮ Fock representations and deformation quantization of Kähler manifolds ⋮ Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold ⋮ Contravariant geometry and emergent gravity from noncommutative gauge theories
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
- Recent developments in instantons in noncommutative \(\mathbb R^4\)
- On the deformation quantization, on a Kähler manifold, associated with a Berzin quantization
- Fuzzy complex projective spaces and their star-products
- Matrix models in homogeneous spaces
- Invariant star products of Wick type: classification and quantum momentum mappings
- Weyl manifolds and deformation quantization
- Finite gauge theory on fuzzy \(\mathbb CP^2\)
- Are vortex numbers preserved?
- Deformation theory and quantization. II: Physical applications
- On the canonical normalization of a trace density of deformation quantization
- Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
- A simple geometrical construction of deformation quantization
- A large-\(N\) reduced model as superstring
- Noncommutative geometry and gauge theory on fuzzy sphere
- String theory and noncommutative geometry
- *-products on some Kähler manifolds
- Invariant star products and representations of compact semisimple Lie groups
- A new noncommutative product on the fuzzy two-sphere corresponding to the unitary representation of SU(2) and the Seiberg-Witten map
- Deformation quantization of Poisson manifolds
- Quantization of Kähler manifolds. IV
- Phase space reduction for star-products: An explicit construction for \(\mathbb{C} P^ n\)
- Deformation quantizations with separation of variables on a Kähler manifold
- Explicit formulas for noncommutative deformations of ${\mathbb C}{P^N}$CPN and ${\mathbb C}{H^N}$CHN
- LARGE N REDUCTION ON GROUP MANIFOLDS
- Classical bosons in a non-commutative geometry
- Quantization of Kahler Manifolds. II
- Supergravity
- Noncommutative field theory
- Quantum field theory on noncommutative spaces
- Noncommutative perturbative dynamics
- Non-commutative solitons
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