course dates credits
AdS/CFT May 2 - Jun 10 6
teachers schedule term
Francesco Benini 10:00 - 11:30 3

Program:

  • Introduction: What is AdS/CFT?
  • Large N limit
  • Conformal symmetry
    • Primary fields, correlation functions, OPE
    • Superconformal algebras
  • Anti-de-Sitter space
    • Penrose diagrams
  • 4d N=4 SYM and strings on AdS5 x S5
  • The holographic dictionary
    • Field/Operator map
    • Correlation functions
    • Anomalies
  • Holographic renormalization
    • Weyl anomaly
  • Wilson loops
  • Non-conformal theories and confinement
    • Confining theories
    • RG flows
  • Theories at finite temperature
    • Thermal phase transitions
  • The 1/2 BPS spectrum of N=4 SYM
    • 5d N=8 gauged SUGRA
  • Response functions and AdS/CMT
    • Spectral functions and transport coefficients
    • Real-time correlators from AdS/CFT
    • The holographic superconductor
  • Entanglement entropy
    • The replica method
    • Holographic entanglement entropy
  • Prerequisites:

    • Quantum Field Theory course
    • Supersymmetry course
    • Conformal Field Theory course
    • String Theory I course

    Books:

    Online Resources:

    Filename Size (bytes) Date Modified
    SISSA_AdS_CFT_course2021.pdf 764.78 KB Jun 9 2021 4:25 PM