Weyl invariant polynomial and deformation quantization on Kahler manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:76

Article

Xu, Hao^1,2 

[1] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

关键词: Weyl invariant polynomial;    Star product;    Feynman diagrams;   

DOI  :  10.1016/j.geomphys.2013.10.022

来源: Elsevier

【 摘 要 】

Given a polynomial P of partial derivatives of the Kahler metric, we prove a simple criterion in terms of the coefficients for P to be an invariant polynomial, i.e. invariant under the transformation of coordinates. As applications, we prove an explicit composition formula for covariant differential operators under a canonical basis, also known as invariant differential operators in the case of bounded symmetric domains. We also prove a general explicit formula of star products on Miller manifolds. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free