Moduli Spaces of Instantons on the Taub-NUT Space

2008/05/08 by Sergey A. Cherkis · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Instanton #Metric (unit) #Moduli of algebraic curves #Moduli space #Space (punctuation) #String (physics) #String theory #hep-th #math.DG

paper · pdf · doi:10.1007/s00220-009-0863-8

published as Commun.Math.Phys.290:719-736,2009 · 26 pages, 7 figures

arxiv created 2008/05/08 · openalex publication_date 2009/06/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present ADHM-Nahm data for instantons on the Taub-NUT space and encode these data in terms of Bow Diagrams. We study the moduli spaces of the instantons and present these spaces as finite hyperkahler quotients. As an example, we find an explicit expression for the metric on the moduli space of one SU(2) instanton. We motivate our construction by identifying a corresponding string theory brane configuration. By following string theory dualities we are led to supersymmetric gauge theories with impurities.

Citations

• Construction of instantons
• Classification of 't Hooft instantons over multi-centered gravitational instantons
• Instantons on Noncommutative ℝ 4 , and (2,0) Superconformal Six Dimensional Theory
• The 't Hooft–Polyakov monopole in the presence of a 't Hooft operator
• New instanton solutions at finite temperature
• Empty Space-Times Admitting a Three Parameter Group of Motions
• Gravitational instantons

Cited by

• Yang-Mills instantons from gravitational instantons
• S-duality in Abelian gauge theory revisited