The Asymptotic Structure of Monopoles in R³, Calorons, and ALF Instantons

2025/10/17 by Sergey A. Cherkis, Cherkis, Sergey A., Mark Stern +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2510.15834

openalex publication_date 2025/10/17 · openalex created_date 2025/10/21 · openalex updated_date 2026/07/28

Abstract

We study the asymptotic structure of instantons on multi-centered Taub-NUT manifolds, calorons, and monopoles on R³. We show that, without any assumptions on symmetry breaking, these instantons and monopoles asymptotically decompose as a sum of U(1) instantons and monopoles, respectively.

Citations

• Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry
• On the construction of monopoles with arbitrary symmetry breaking
• Instantons on multi-Taub-NUT Spaces II: Bow Construction

Related

• Calorons and constituent monopoles
• Instantons versus Monopoles
• Partial compactification of monopoles and metric asymptotics
• Instanton, Monopole and Confinement
• Multi-calorons and their moduli