Gauge theories on the noncommutative sphere

Abstract

Gauge theories are formulated on the noncommutative two-sphere. These theories have only finite number of degrees of freedom, nevertheless they exhibit both the gauge symmetry and the SU(2) "Poincaré" symmetry of the sphere. In particular, the coupling of gauge fields to chiral fermions is naturally achieved.

33 pages, LaTeX

References in corpus (1)

• Fuzzy Surfaces of Genus Zero

Cited by in corpus (32)

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• Finite Gauge Theory on Fuzzy CP^2
• Higher dimensional geometries related to fuzzy odd-dimensional spheres
• Perturbative dynamics on fuzzy S^2 and RP^2
• Quantum mechanics on noncommutative Riemann surfaces
• Noncommutative D-Brane in Non-Constant NS-NS B Field Background
• Monte Carlo Simulation of a NC Gauge Theory on The Fuzzy Sphere
• The Fuzzy Supersphere
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• Localization for Yang-Mills Theory on the Fuzzy Sphere
• Fractional quantum Hall effect on the two-sphere: a matrix model proposal
• The One-Plaquette Model Limit of NC Gauge Theory in 2D
• CP^n Model on Fuzzy Sphere
• O(3) Sigma model with Hopf term on Fuzzy Sphere
• Solitons for the fuzzy sphere from matrix model
• Scalar Multi-Solitons on the Fuzzy Sphere
• Topology Change From Quantum Instability of Gauge Theory on Fuzzy CP^2
• Noncommutative Fluids
• Non-constant Non-commutativity in 2d Field Theories and a New Look at Fuzzy Monopoles
• Instantons and Chiral Anomaly in Fuzzy Physics
• Dirac operators for matrix algebras converging to coadjoint orbits
• 'Schwinger Model' on the Fuzzy Sphere
• Regularization of 2d supersymmetric Yang-Mills theory via non commutative geometry
• On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories
• Nonabelian localization for gauge theory on the fuzzy sphere
• The Seiberg-Witten Map on the Fuzzy Sphere