Moduli Spaces of Instantons on the Taub-NUT Space

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.

26 pages, 7 figures

References in corpus (22)

• Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory
• Holography and Defect Conformal Field Theories
• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Gauge Fields and D-branes
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Aspects of Type IIB Theory on ALE Spaces
• Four-Dimensional Superconformal Theories with Interacting Boundaries or Defects
• Exact T-duality between Calorons and Taub-NUT spaces
• Three Dimensional Gauge Theories and Monopoles
• HyperKähler Quotient Construction of BPS Monopole Moduli Spaces
• Singular Monopoles and Supersymmetric Gauge Theories in Three Dimensions
• Explicit Construction of Yang-Mills Instantons on ALE Spaces
• Singular Monopoles and Gravitational Instantons
• On Yang--Mills instantons over multi-centered gravitational instantons
• The 't Hooft-Polyakov Monopole in the Presence of a 't Hooft Operator
• Geometric construction of new Yang-Mills instantons over Taub-NUT space
• Singular Monopoles via the Nahm Transform
• Yang-Mills Instantons in the Gravitational Instanton Backgrounds
• New Instanton Solutions at Finite Temperature
• Instanton-Meron Hybrid in the Background of Gravitational Instantons
• Classification of 't Hooft instantons over multi-centered gravitational instantons

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