The Fuzzy Kaehler Coset Space with the Darboux Coordinates
Shogo Aoyama, Takahiro Masuda
Abstract
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 product becomes the Moyal product by taking appropriate Darboux coordinates, but invariant by canonically transforming the coordinates. This respect of the product is explained by studying the fuzzy algebrae of the Kaehler coset space.
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