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Conformal Field Theories in Diverse Dimensions

Pietro A. Grassi - University Piemonte Orientale, Alessandria

Luis F. Alday - University of Oxford, Oxford

  The aim of the course is to give a self-contained, pedagogical introduction to conformal field theories in dimensions higher than two. The course covers the following topics:  
    1. Motivation: RG flows and scale invariant theories.
    2. Conformal transformations.
    3. Symmetries in QFTs.
    4. Correlators in CFTs.
    5. Radial quantization and the OPE.
    6. The conformal bootstrap.
  The following references have been used in preparing the material:
    Chapter 12 of An Introduction to Quantum Field Theory by Peskin and Schroeder.
    Chapters 2 and 4 of Conformal Field Theory by Di Francesco, Mathieu and Senechal
    Slava Rychkov lecture notes on EPFL Lectures on Conformal Field Theory in D>=3 Dimensions.
    Video lectures on Conformal Field Theories by Jaume Gomis.