Monopole Bundles over Fuzzy Complex Projective Spaces
arXiv:hep-th/0404130 · doi:10.1016/j.geomphys.2004.11.001
Abstract
We give a construction of the monopole bundles over fuzzy complex projective spaces as projective modules. The corresponding Chern classes are calculated. They reduce to the monopole charges in the N -> infinity limit, where N labels the representation of the fuzzy algebra.
arXiv comment30 pages, LaTeX, published version; extended discussion on asymptotic Chern numbers
References in corpus (31)
- Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory
- Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
- Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
- Quantum Hall Effect in Higher Dimensions
- Monopoles and Solitons in Fuzzy Physics
- Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model
- Topologically nontrivial field configurations in noncommutative geometry
- Noncommutative Geometry and Gauge Theory on Fuzzy Sphere
- The Fermion Doubling Problem and Noncommutative Geometry
- Fuzzy CP2
- Instantons on Noncommutative R^4 and Projection Operators
- The geometry of WZW branes
- Fuzzy Complex Projective Spaces and their Star-products
- Chirality and Dirac Operator on Noncommutative Sphere
- Trieste lectures on solitons in noncommutative gauge theories
- Finite Gauge Theory on Fuzzy CP^2
- The Fuzzy Ginsparg-Wilson Algebra: A Solution of the Fermion Doubling Problem
- Field Theory on the q-deformed Fuzzy Sphere I
- Matrix Models in Homogeneous Spaces
- Ginsparg-Wilson Relation, Topological Invariants and Finite Noncommutative Geometry
- Differential Calculus on Fuzzy Sphere and Scalar Field
- Towards Finite Quantum Field Theory in Non-Commutative Geometry
- Projective Modules of Finite Type and Monopoles over
- Projectors for the fuzzy sphere
- Ginsparg-Wilson Relation and 't Hooft-Polyakov Monopole on Fuzzy 2-Sphere
- Chiral Anomaly on Fuzzy 2-Sphere
- Fuzzy Line Bundles, the Chern Character and Topological Charges over the Fuzzy Sphere
- A quantum algebraic description of D-branes on group manifolds
- Towards a Nonperturbative Covariant Regularization in 4D Quantum Field Theory
- Free Field Realization of D-brane in Group Manifold
- Fermion doubling problem and noncommutative geometry II
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- Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results
- Dynamical aspects of the fuzzy CP in the large reduced model with a cubic term
- Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
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- Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
- One-loop stabilization of the fuzzy four-sphere via softly broken SUSY
- Probability distribution of the index in gauge theory on 2d non-commutative geometry
- Vector bundles for "Matrix algebras converge to the sphere"
- ABJM Baryon Stability and Myers effect
- Index theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere
- Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
- The matrix regularization for Riemann surfaces with magnetic fluxes
- Vector profile and gauge invariant observables of string field theory solutions for constant magnetic field background
- Evolving fuzzy CP^n and lattice n-simplex
- D-branes Wrapped on Fuzzy del Pezzo Surfaces
- Twisted Fock Representations of Noncommutative Kähler Manifolds
- Projective Coordinates and Projective Space Limit
- Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold