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The Fuzzy Kaehler Coset Space with the Darboux Coordinates

Shogo Aoyama·Takahiro Masuda
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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 $\star$ 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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Shogo Aoyama, Takahiro Masuda. 2001-09-04. The Fuzzy Kaehler Coset Space with the Darboux Coordinates. https://doi.org/10.1016/s0370-2693(01)01208-4

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