The Fuzzy Kaehler Coset Space with the Darboux Coordinates

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.Comment: LaTeX, 11 pages, no figur

N=4 Super-Schwarzian Theory on the Coadoint Orbit and PSU(1,1|2)

An N=4 super-Schwarzian theory is formulated by the coadjoint orbit method. It is discovered that the action has symmetry under PSU(1,1|2).Comment: 19 pages, v3: Sec. 5 extended to discuss dependence of the action on the initial point of the coadjoint orbit. Footnote 1, eq. (4.6) and typos corrected. References added. Matches published version; v2: Typos correcte

Fuzzy Algebrae of the General Kaehler Coset Space G/H\otimesU(1)^k

We study the fuzzy structure of the general Kaehler coset space G/S\otimes{U(1)}^k deformed by the Fedosov formalism. It is shown that the Killing potentials satisfy the fuzzy algebrae working in the Darboux coordinates.Comment: 8 pages, LaTex, no figur