On Yang--Mills instantons over multi-centered gravitational instantons

Details On Yang--Mills instantons over multi-centered gravitational instantons On Yang--Mills instantons over multi-centered gravitational instantons

2002-07-22

arxiv.org/abs/hep-th/0207196v2

Commun.Math.Phys. 235 (2003) 275-288

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 15 pages, two incorporated figures; more references and journal reference added

Scientific paper

10.1007/s00220-003-0806-8

In this paper we explicitly calculate the analogue of the 't Hooft SU(2) Yang--Mills instantons on Gibbons--Hawking multi-centered gravitational instantons which come in two parallel families: the multi-Eguchi--Hanson, or A_k ALE gravitational instantons and the multi-Taub--NUT, or A_k ALF gravitational instantons. We calculate their action and find the reducible ones. Following Kronheimer we also exploit the U(1) invariance of our solutions and study the corresponding explicit singular SU(2) magnetic monopole solutions on Euclidean three-space.

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