On Yang--Mills instantons over multi-centered gravitational instantons
High Energy Physics - Theory
2009-11-07 v2 General Relativity and Quantum Cosmology
Mathematical Physics
Differential Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0207196,
title = {On Yang--Mills instantons over multi-centered gravitational instantons},
author = {Gabor Etesi and Tamas Hausel},
journal= {arXiv preprint arXiv:hep-th/0207196},
year = {2009}
}
Comments
LaTeX, 15 pages, two incorporated figures; more references and journal reference added