Fuzzy Sphere and Hyperbolic Space from Deformation Quantization

Details Fuzzy Sphere and Hyperbolic Space from Deformation Quantization Fuzzy Sphere and Hyperbolic Space from Deformation Quantization

2001-03-03

arxiv.org/abs/hep-th/0103018v3

JHEP 0103:025,2001

Physics

High Energy Physics

High Energy Physics - Theory

10pages, references added, typos corrected

Scientific paper

10.1088/1126-6708/2001/03/025

We explicitly construct noncommutative * products on circularly symmetric two dimensional space by using the technique of Fedosov's deformation quantization. Especially, on constant curvature spaces i.e., S^2 and H^2, we get su(2) and su(1,1) algebra respectively. These are candidates of * products applicable to noncommutative field theories or noncommutative gauge theories on spaces with nontrivial symplectic structure.

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