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Exact construction of noncommutative instantons

Exact construction of noncommutative instantons
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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.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2013年第5期1031-1046,共16页 中国高等学校学术文摘·数学(英文)
关键词 INSTANTONS noncommutative geometry Instantons, noncommutative geometry
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