• DOI:10.1007/s00220-003-0806-8
Corpus ID: 15229826

On Yang–Mills Instantons over Multi-Centered Gravitational Instantons

@article{Etesi2003OnYI,
  title={On Yang–Mills Instantons over Multi-Centered Gravitational Instantons},
  author={G. Etesi and Tam{\'a}s Hausel},
  journal={Communications in Mathematical Physics},
  year={2003},
  volume={235},
  pages={275-288}
}

G. Etesi, Tamás Hausel

Published 2003

Physics, Mathematics

Communications in Mathematical Physics

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 Ak ALE gravitational instantons and the multi-Taub–NUT spaces, or Ak ALF gravitational instantons. We calculate their energy and find the reducible ones. Following Kronheimer we also exploit the U(1) invariance of our solutions and study the corresponding explicit… CONTINUE READING

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