Exact construction of noncommutative instantons

作     者：Masashi HAMANAKA Toshio NAKATSU 

作者机构：Department of Mathematics Nagoya University Furocho Chikusa-ku Nagoya 464-8602 Japan Institute for Fundamental Sciences Setsunan University 17-8 Ikeda Nakamachi Neyagawa Osaka 572-8508 Japan 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2013年第8卷第5期

页      面：1031-1046页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported in part by the Toyoaki Scholarship Foundation and the Grant-in-Aid for Young Scientists supported in part by the Grant-in-Aid for Scientific Research 

主　　题：Instantons noncommutative geometry 

摘      要：We discuss the Atiyah-Drinfeld-Hitchin-Manin （ADHM） construc- tion of U（N） instantons in noncommutative （NC） space and give some exact instanton solutions for various noncommutative settings. We also present a new formula which is crucial to show an origin of the instanton number for U（1） and to prove the one-to-one correspondence between moduli spaces of the noncommutative instantons and the ADHM data.