course dates credits
AdS/CFT Apr 22 - Apr 24
Apr 28 - May 22
5
teachers schedule term
Laura Donnay 08:30 - 11:30
10:00 - 11:30
3

Program:

  • Introduction: What is AdS/CFT?
  • Conformal symmetry
    • Primary fields, correlation functions, OPE
    • State-operator correspondence, unitarity bounds, embedding space formalism
    • Comments on 2d CFTs and superconformal algebras
  • Anti-de-Sitter space
    • Conformal structure, Penrose diagrams, particles in AdS
  • The holographic dictionary
    • Formulating the correspondence
    • Field/Operator map
    • Correlation functions
  • Holographic renormalization
    • Holographic renormalization method
    • Weyl anomaly
  • Large N limits in gauge theory
  • 4d N=4 SYM and strings on AdS5 x S5
  • Tests of the AdS5/CFT4 correspondence
    • Matching of the spectrum
    • Low points correlators
    • Conformal anomaly
  • Wilson loops
  • Non-conformal theories and confinement
    • RG flows
    • Confining theories
  • Theories at finite temperature
  • Linear response and hydrodynamics
  • Prerequisites:

    • Quantum Field Theory I & II
    • Supersymmetry I
    • Conformal Field Theory
    • String Theory

    Books:

    Online Resources:

    Filename Size (bytes) Date Modified
    AdS_CFT (1).pdf 1.3 MB May 6 2025 9:56 AM