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arxiv: hep-th/0109020 · v1 · submitted 2001-09-04 · ✦ hep-th

The Fuzzy Kaehler Coset Space with the Darboux Coordinates

classification ✦ hep-th
keywords coordinatesproductcosetdarbouxfuzzykaehlerspacestar
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The Fedosov deformation quantization of the symplectic manifold is determined by a 1-form differential r. We identify a class of r for which the $\star$ product becomes the Moyal product by taking appropriate Darboux coordinates, but invariant by canonically transforming the coordinates. This respect of the $\star$ product is explained by studying the fuzzy algebrae of the Kaehler coset space.

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