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ADHM Construction of Noncommutative Instantons

Published 20 Nov 2013 in hep-th, math-ph, math.MP, and nlin.SI | (1311.5227v1)

Abstract: We discuss the Atiyah-Drinfeld-Hitchin-Manin (ADHM) construction of U(N) instantons in noncommutative (NC) space and prove the one-to-one correspondence between moduli spaces of the noncommutative instantons and the ADHM data, together with an origin of the instanton number for U(1). We also give a derivation of the ADHM construction from the viewpoint of the Nahm transformation of instantons on four-tori. This article is a composite version of [23] and [24].

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