Fuzzy complex projective spaces and their star-products

From MaRDI portal
Publication:697833

DOI10.1016/S0393-0440(02)00020-7zbMath1007.51007arXivhep-th/0107099OpenAlexW3104627398MaRDI QIDQ697833

Brian P. Dolan, Denjoe O'connor, Xavier Martin, Joohan Lee, Aiyalam P. Balachandran

Publication date: 17 September 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0107099



Related Items

Gauge theories on noncommutative ℂPN and Bogomol’nyi-Prasad-Sommerfield-like equations, On random multitraces matrix models, One-loop stabilization of the fuzzy four-sphere via softly broken SUSY, Dequantization via quantum channels, Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons, Gauge theories in noncommutative homogeneous Kähler manifolds, Topological many-body states in quantum antiferromagnets via fuzzy supergeometry, Finite gauge theory on fuzzy \(\mathbb CP^2\), A perturbative approach to fuzzifying field theories, Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results, Bosonization of the lowest Landau level in arbitrary dimensions: edge and bulk dynamics, Deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold, A projective Dirac operator on \(\mathbb{CP}^2\) within fuzzy geometry, Fuzzy scalar field theory as a multitrace matrix model., Fock representations and deformation quantization of Kähler manifolds, Quantum gravity as a multitrace matrix model, Understanding truncated non-commutative geometries through computer simulations, A twistorial description of the IKKT-matrix model, Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold, On the origin of the UV-IR mixing in noncommutative matrix geometry, The fuzzy BTZ, Holographic hierarchy in the Gaussian matrix model via the fuzzy sphere, Reconstructing manifolds from truncations of spectral triples, NON-COMMUTATIVE COMPLEX PROJECTIVE SPACES AND THE STANDARD MODEL, NON-COMMUTATIVE GAUGE THEORY ON FUZZY ℂP2, Contravariant geometry and emergent gravity from noncommutative gauge theories, Noncommutative deformations of locally symmetric Kähler manifolds, FUZZY CONIFOLD $Y_F^6$ AND MONOPOLES ON $S_F^2\times S_F^2$, On the quantum structure of space-time, gravity, and higher spin in matrix models, CONSTRUCTION OF CERTAIN FUZZY FLAG MANIFOLDS, Monopole bundles over fuzzy complex projective spaces, Fuzzy complex Grassmannians and quantization of line bundles, FUZZY COMPLEX GRASSMANNIAN SPACES AND THEIR STAR PRODUCTS, D-branes on group manifolds and deformation quantization, Higher-dimensional geometries from matrix brane constructions, Scalar and spinor field actions on fuzzy \(S^4\): fuzzy \(\mathbb{C} P^3\) as a \(S^2_F\) bundle over \(S^4_F\), Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions, SIMULATION OF A SCALAR FIELD ON A FUZZY SPHERE, Remarks on the eigenvalues distributions of D≤4 Yang–Mills matrix models, Quantized Nambu–Poisson manifolds and n-Lie algebras, Explicit formulas for noncommutative deformations of ${\mathbb C}{P^N}$CPN and ${\mathbb C}{H^N}$CHN, A quantum algebraic description of D-branes on group manifolds



Cites Work