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arXiv · hep-th/0103018

Fuzzy Sphere and Hyperbolic Space from Deformation Quantization

Isao Kishimoto
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Abstract

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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Isao Kishimoto. 2001-07-09. Fuzzy Sphere and Hyperbolic Space from Deformation Quantization. https://doi.org/10.1088/1126-6708%2F2001%2F03%2F025

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