Introduction to Holography

by E. Tonni (4 credits)


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


  • 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

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