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Instantons in Gauge Theories

Jose F. Morales - INFN Tor Vergata, Roma

  The plan of the course is:
  • Instantons in gauge theories: solutions of Euclidean equations of motion. Sad- dle points of path integrals. Instantons as self-dual connections. The k = 1 solution.
  • ADHM construction. The moduli space of self-dual connections. Fermions in the instantons background.
  • Supersymmetric theories. Supersymmetry in the instanton moduli space. N = 1 supersymmetric gauge theories. The Affleck-Dine-Seiberg prepotential.
  • N= 2 supersymmetric gauge theories. The idea of localisation. The prepotential. Multi-instanton calculus via localization..
  • Seiberg-Witten curves from localisation.
      Lecture Notes