Home Registration Contacts Participants Lectures Schedule
 

Aspects of Conformal Field Theory

Pietro A. Grassi - Università del Piemonte Orientale

 
  The course will focus on aspects of two-dimensional conformal field theory
  The plan of the course is (time permitting):
 
  • Conformal group in d dimensions. Conformal Invariance in Classical Field Theory and in Quantum Field Theory
  • Conformal group in 2d. Correlation Functions. Ward Identities.
  • Free Field and Operator Product Expansion (Bosonic Scalar)
  • Fermions, bc-systems, Central Charge and Anomalies
  • Global Conformal Invariance, PSL(2,C)
  • Operator Formalism, Virasoro Algebra, Verma Modules
  • Free Boson and Free Fermion, Normal Ordering
  • Operator Algebra and Conformal Blocks
  • String Theory Application: BRST symmetry
  • Vertex Operators and Correlation Functions
  •  
     
      Bibliography:
     
      P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory, Springer Verlag
      J. Polchinski, String Theory Vol I, Cambridge University Press
      R. Blumenhagen and E. Plauschinn, Introduction to Conformal Field Theory, Springer Verlag