Comments on Noncommutative ADHM Construction

Abstract

We extend the method of matrix partition to obtain explicitly the gauge field for noncommutative ADHM construction in some general cases. As an application of this method we apply it to the U(2) 2-instanton and get explicit result for the gauge fields in the coincident instanton limit. We also easily apply it to the noncommutative 't Hooft instantons in the appendix.

arXiv comment17 pages, LaTeX; an appendix added, typos corrected, refs added

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• Non-commutative (D)-instantons
• Noncommutative Moduli for Multi-Instantons
• The ADHM Construction of Instantons on Noncommutative Spaces
• D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
• Construction of Noncommutative Instantons in 4k Dimensions
• Noncommutative Instantons in 4k Dimensions
• Noncommutative Deformation of Instantons
• Noncommutative Instantons on CP^n
• Noncommutative Deformation of Spinor Zero Mode and ADHM Construction
• Topological Charge of ADHM Instanton on R^2_{NC}*R^2
• On the ADHM construction of noncommutative U(2) k-instanton
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons
• Drinfeld-Manin Instanton and Its Noncommutative Generalization
• Conformal Symmetry on the Instanton Moduli Space