Frontiers of Mathematics in China >
Exact construction of noncommutative instantons
Received date: 10 Nov 2012
Accepted date: 28 Nov 2012
Published date: 01 Oct 2013
Copyright
We discuss the Atiyah-Drinfeld-Hitchin-Manin (ADHM) construction 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.
Key words： Instantons; noncommutative geometry
Masashi HAMANAKA , Toshio NAKATSU . Exact construction of noncommutative instantons[J]. Frontiers of Mathematics in China, 2013 , 8(5) : 1031 -1046 . DOI: 10.1007/s11464-013-0281-2
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