Comments on Instantons on Noncommutative R^4

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dc.creatorKim, Keun-Young
dc.creatorLee, Bum-Hoon
dc.creatorYang, Hyun Seok
dc.date2000-03-13
dc.date2001-08-28
dc.date.accessioned2026-07-07T11:35:48Z
dc.date.available2026-07-07T11:35:48Z
dc.descriptionWe 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.
dc.description15 pages, LaTex. v4: We now obtain the integer instanton number for our previous solutions after the correction of a numerical error, consistent with http://xxx.lanl.gov/abs/hep-th?0108007 by Chu, et al. It is also shown that the completeness relation is always satisfied, contrary to the claim by Chu, et al
dc.identifierhttps://arxiv.org/abs/hep-th/0003093
dc.identifierhttp://arxiv.org/abs/hep-th/0003093
dc.identifierJ.KoreanPhys.Soc.41:290-297,2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198716
dc.subjectHigh Energy Physics - Theory
dc.titleComments on Instantons on Noncommutative R^4
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