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Comments on Instantons on Noncommutative R^4

Keun-Young Kim·Bum-Hoon Lee·Hyun Seok Yang
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Abstract

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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Keun-Young Kim, Bum-Hoon Lee, Hyun Seok Yang. 2001-08-28. Comments on Instantons on Noncommutative R^4. https://arxiv.org/abs/hep-th/0003093

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