1998/05/21 by Calin Iuliu Lazaroiu, C. I. Lazaroiu, Lazaroiu, C. I.
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.hep-th/9805132
36 pages, no figures;small improvements of style,minor typos corrected
openalex publication_date 1998/05/21 · arxiv created 1999/11/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We generalize the recently proposed noncommutative ADHM construction to the case of Γ-equivariant instantons over \R4, with Γ a Kleinian group. We show that a certain form of the inhomogeneous ADHM equations describes instantons over a noncommutative deformation of the Kleinian orbifold \C2/Γ and we discuss the relation of this with Nakajima's description of instantons over ALE spaces. In particular, we obtain a noncommutative interpretation of the minimal resolution of Kleinian singularities.