Noncommutative deformations of locally symmetric Kahler manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:114

Article

Hara, Kentaro¹  Sako, Akifumi^1,2 

[1] Tokyo Univ Sci, Fac Sci Div 2, Dept Math, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan

[2] Univ Vienna, Fak Phys, Boltzmanngasse 5, A-1090 Vienna, Austria

关键词: Noncommutative geometry;    Deformation quantization;    Kahler manifold;    Local symmetry;   

DOI  :  10.1016/j.geomphys.2017.01.009

来源: Elsevier

【 摘 要 】

We derive algebraic recurrence relations to obtain a deformation quantization with separation of variables for a locally symmetric Kahler manifold. This quantization method is one of the ways to perform a deformation quantization of Kahler manifolds, which is introduced by Karabegov. From the recurrence relations, concrete expressions of star products for one-dimensional local symmetric Kahler manifolds and CPN are constructed. The recurrence relations for a Grassmann manifold G(2,2) are closely studied too. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free