Exact construction of noncommutative instantons  

作　　者：Masashi HAMANAKA Toshio NAKATSU 

机构地区：[1]Department of Mathematics, Nagoya University, Furocho, Chikusa-ku, Nagoya 464-8602, Japan [2]Institute for Fundamental Sciences, Setsunan University, 17-8 Ikeda Nakamachi, Neyagawa, Osaka 572-8508, Japan

出　　处：《Frontiers of Mathematics in China》2013年第5期1031-1046,共16页中国高等学校学术文摘·数学（英文）

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.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.

关 键 词：INSTANTONS noncommutative geometry 

分 类 号：O151.21[理学—数学] O144[理学—基础数学]