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Geometrical Methods for String Compactifications

Pietro A. Grassi - Università del Piemonte Orientale

Alessandro Tomasiello - Università di Milano Bicocca

 
  The course will focus on string theory compactifications on (generalised) Calabi-Yau manifolds
  The plan of the course is (time permitting):
 
    PART I - Calabi-Yau manifolds
  • Superstring Spectrum and Supergravity
  • Toroidal Compactifications and Supersymmetry
  • Complex Geometry, Kahler Geometry
  • Calabi-Yau spaces and Supersymmetry
  • Compactifications on Calabi-Yau spaces
    1. PART II - Fluxes and generalized Calabi-Yau spaces
  • Fluxes and supersymmetry
  • Generalized complex geometry
  • Pure spinor equations for supersymmetry
  • Known classes of supersymmetric flux compactifications
  •  
      Preliminary lecture notes: part I.1 and I.2, part II.
      Bibliography:
     
      P. Fré and Soriani, N=2 Wonderland
      J. Polchinski, String Theory, Vol II
      M. Green, J. Schwarz and E. Witten, Superstring Theory, Vol. II
      D. Jocye, Compact Manifold with Special Holonomy