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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