Noncommutative CP＾N and CH＾N and their physics
Noncommutative CP＾N and CH＾N and their physics
复制标题
非交换 CP^N 和 CH^N 及其物理
DOI：
10.1088/1742-6596/442/1/012052
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Toshiya Suzuki and Hiroshi Umetsu
中科院分区：
文献类型：
--
作者：
Akifumi Sako;Toshiya Suzuki and Hiroshi Umetsu
我们通过构造星星积来研究流形的非对易变形。本文从一个非对易Bbb R d出发，讨论了更一般的非对易流形.一般来说，星星产品不能用具体的表达式来描述，但也有例外。在这篇文章中，我们介绍了新的例子，非交换流形的显式星星产品。Karabegov的Bbb C P N和Bbb C H N的分离变量形变量子化给出了用γ函数表示的显式可计算星星积.利用非齐次坐标系下的星星积的结果，找到了非对易Bbb C PN和Bbb C HN的生成和消元算子，得到了它们的Fock表示.
We study noncommutative deformation of manifolds by constructing star products. We start from a noncommutative Bbb R d and discuss more genaral noncommutative manifolds. In general, star products can not be described in concrete expressions without some exceptions. In this article we introduce new examples of noncommutative manifolds with explicit star products. Karabegov's deformation quantization of Bbb C P N and Bbb C H N with separation of variables gives explicit calulable star products represented by gamma functions. Using the results of star products between inhomogeneous coordinates, we find creation and anihilation operators and obtain the Fock representation of the noncommutative Bbb C P N and Bbb C H N.