Noncommutative deformation of instantons

被引：6
|
作者：
Maeda, Yoshiaki [2 ,3 ]
Sako, Akifumi [1 ]
机构：
[1] Kushiro Natl Coll Technol, Dept Gen Educ, Kushiro, Hokkaido 0840916, Japan
[2] Keio Univ, Fac Sci & Technol, Dept Math, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan
[3] Univ Warwick, Math Res Ctr, Coventry CV4 7AL, W Midlands, England
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2008年 / 58卷 / 12期
关键词：
Noncommutative geometry; Yang-Mills theory; Instanton;
D O I：
10.1016/j.geomphys.2008.08.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study instanton solutions on noncommutative Euclidean 4-space which are deformations of instanton solutions on commutative Euclidean 4-space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture that the instanton number in R-4 is preserved for general noncommutative deformations. We also study noncommutative deformation of instanton solutions on a T-4 with twisted boundary conditions. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：1784 / 1791
页数：8
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