Instanton Calculus and SUSY Gauge Theories on ALE Manifolds
D. Bellisai (Rome U. Tor Vergata), G. Travaglini (INFN Tor Vergata)

TL;DR
This paper investigates instanton effects in N=2 supersymmetric SU(2) gauge theories on ALE spaces, specifically analyzing configurations on Eguchi-Hanson backgrounds to understand their non-perturbative contributions.
Contribution
It provides a detailed analysis of instanton effects on ALE manifolds, extending understanding of supersymmetric gauge theories in curved gravitational backgrounds.
Findings
Explicit characterization of instanton configurations on ALE spaces.
Insights into the role of gravitational backgrounds in supersymmetric gauge theories.
Analysis of lowest Chern class gauge configurations on Eguchi-Hanson space.
Abstract
We study instanton effects along the Coulomb branch of an N=2 supersymmetric Yang-Mills theory with gauge group SU(2) on Asymptotically Locally Euclidean (ALE) spaces. We focus our attention on an Eguchi-Hanson gravitational background and on gauge field configurations of lowest Chern class.
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