Comments on Instantons on Noncommutative R^4

Details Comments on Instantons on Noncommutative R^4 Comments on Instantons on Noncommutative R^4

2000-03-13

arxiv.org/abs/hep-th/0003093v4

J.KoreanPhys.Soc.41:290-297,2002

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTex. v4: We now obtain the integer instanton number for our previous solutions after the correction of a numerical

Scientific paper

We study U(1) and U(2) instanton solutions on noncommutative R^4 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 R^4 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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