Conformal Field Theory

by E. Tonni (5 credits, type A)

4-state Potts model;re

Main Topics

Fermionic formulation of the 2-dimensional Ising model

  • Order and disorder operators
  • Operator product expansion and fermionic fields
  • Dirac equation

Conformal Field Theory

  • Conformal Invariance
  • Ward identity and primary fields
  • Virasoro algebra and central charge
  • Representation theory
  • Casimir effect and other finite size phenomena
  • Bosonic and fermionic fields

Minimal models

  • Differential equations of the correlation functions
  • Gas di Coulomb
  • Modular invariance
  • Statistical Models with Supersymmetry
  • Parafermionic and Wess-Zumino-Witten models

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