Phase space reduction for star-products: An explicit construction for \(\mathbb{C} P^ n\) (Q1912760)

The authors give an explicit formula for a star-product on the complex projective space and the domain \(SU(1,n)/SU(1) \times U(n)\) which in addition is shown to be the Marsden-Weinstein reduction of a star product equivalent to the usual Wick product on the flat Kähler manifold \(\mathbb{C}^{n + 1} \backslash \{0\}\).