2000/10/31 by Takuya Masuda
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1142/s0217732300002760
to be published in Mod. Phys. Lett. A
openalex publication_date 2000/11/20 · arxiv created 2000/11/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define a normalized Weyl-type ⋆-product on general Kähler manifolds. Expanding this product perturbatively we show that the cumbersome term, which appears in a Berezin-type product, does not appear at least in the first order of ℏ. This means a normalization factor, which is introduced by Reshetikhin and Takhtajan for a Berezin-type product, is unnecessary for our Weyl-type product at that order.