Phase Transitions and Conformal Field Theory

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4-state Potts model;re

Main Topics

Phase transitions

  • Symmetry and order parameters
  • Critical exponents and scaling laws
  • Lattice models and continuum limit

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
  • Coulomb Gas
  • Modular invariance
  • Statistical Models with Supersymmetry
  • Parafermionic and Wess-Zumino-Witten models

Liouville Field Theory

Numerical Methods

Truncated Conformal Space Approach

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