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Quantum sigma models and applications

Pietro A. Grassi - Università del Piemonte Orientale

  The plan of the course is (time permitting):
  • Definition of sigma models in 2d and in 4d.
  • General sigma models and quantization - background field method.
  • Sigma models on group manifolds.
  • Sigma models on coset manifolds and WZW models.
  • Adding fermionic coordinates.
  • Kappa invariant sigma models.
  • AdS sigma models and Ramond-Ramond fields.
      P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory, Springer Verlag
      N.Berkovits, ICTP lectures on covariant quantization of the superstring, [arXiv:hep-th/0209059]
      S.V. Ketov, Quantum non-linear sigma models, Springer Verlag