Instanton Effects in Supersymmetric Yang-Mills Theories on ALE Gravitational Backgrounds

Abstract

In this letter we report on the computation of instanton-dominated correlation functions in supersymmetric YM theories on ALE spaces. Following the approach of Kronheimer and Nakajima, we explicitly construct the self-dual connection on ALE spaces necessary to perform such computations. We restrict our attention to the simplest case of an $SU(2)$ connection with lowest Chern class on the Eguchi-Hanson gravitational background.

18 pages, phyzzx

References in corpus (5)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• String Solitons
• ALE manifolds and Conformal Field Theory
• ALE Instantons in String Effective Theory

Cited by in corpus (7)

• Multi-Instanton Calculus and Equivariant Cohomology
• Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory
• Explicit Construction of Yang-Mills Instantons on ALE Spaces
• Crepant Resolutions of ${\mathbb{C}}^3/{\mathbb{Z}}_4$ and the Generalized Kronheimer Construction (in view of the Gauge/Gravity Correspondence)
• Instanton Calculus and SUSY Gauge Theories on ALE Manifolds
• Gauge Zero-Modes on ALE Manifolds
• Missing Yang-Mills instantons on ALE spaces