2013/11/20 by Masashi Hamanaka, Hamanaka, Masashi, Toshio Nakatsu +1
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.48550/arxiv.1311.5227
23pages, 3 figures, LaTeX; A composite version of proceedings of the 20th International Colloquium on Integrable Systems and Quantum Symmetries (ISQS20), 17-23 June 2012, Prague, Czech Republic and the 10th International Conference on Symmetries and Integrability of Difference Equations (SIDE10), 11-15 June 2012, Ningbo, China
arxiv created 2013/11/20 · openalex publication_date 2013/11/20 · arxiv updated 2013/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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].