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

TL;DR

This paper explores the fuzzy algebraic structure of general Kaehler coset spaces G/H⊗U(1)^k using Fedosov formalism, demonstrating that Killing potentials obey fuzzy algebrae in Darboux coordinates.

Contribution

It introduces a novel approach to quantize Kaehler coset spaces via Fedosov formalism, revealing fuzzy algebrae satisfied by Killing potentials.

Findings

Killing potentials satisfy fuzzy algebrae in Darboux coordinates

Fedosov formalism effectively deforms Kaehler coset spaces

The approach provides a new perspective on quantization of geometric structures

Abstract

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.