Statistical Physics @ Trieste blackboard
Course: Introduction to holography
by Erik Tonni



Poincaré disk

 




Main topics


    GENERAL RELATIVITY

  • Special relativity and flat space-time
  • Manifolds and tensors
  • Covariant derivatives and curvature tensors
  • Einstein equations and Hilbert action
  • Schwarzschild solution and black holes
  • Black hole entropy
  • Black hole formation
  • Fields in curved backgrounds

    AdS/CFT

  • Basics of CFT
  • AdS/CFT correspondence: holographic dictionary
  • Witten diagrams
  • Bekenstein-Hawking formula and Cardy formula

    HOLOGRAPHIC ENTANGLEMENT ENTROPY

  • Entanglement entropy and area law
  • Ryu-Takayanagi formula

    HOLOGRAPHIC THERMALIZATION

  • Vaidya backgrounds

    HOLOGRAPHIC SUPERCONDUCTORS

  • minimal setup for holographic superconductors