Comments on Instantons on Noncommutative R4
Keun-Young Kim, Bum-Hoon Lee, Hyun Seok Yang
Abstract
We study U(1) and U(2) instanton solutions on noncommutative R4 based on the noncommutative version of ADHM equation proposed by Nekrasov and Schwarz. It is shown that the anti-self-dual gauge fields on self-dual noncommutative R4 correctly give integer instanton numbers for all cases we consider. We also show that the completeness relation in the ADHM construction is generally satisfied even for noncommutative spaces.
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