Catalog

String Theory and Holographic Duality

Physics MIT CC BY-NC-SA 4.0 24 lectures

This string theory course focuses on holographic duality (also known as gauge / gravity duality or AdS / CFT) as a novel method of approaching and connecting a range of diverse subjects, including quantum gravity / black holes, QCD at extreme conditions, exotic condensed matter systems, and quantum information.

Syllabus

  1. 1 Lecture 1: Emergence of Gravity
  2. 2 Lecture 2: Classical Black Hole Geometry
  3. 3 Lecture 3: Causal Structure of a Black Hole and Black Hole Temperature
  4. 4 Lecture 4: Physical Interpretation of Black Hole Temperature
  5. 5 Lecture 5: Black Hole Thermodynamics
  6. 6 Lecture 6: Holographic Principle
  7. 7 Lecture 7: Structure of Large-N Expansion
  8. 8 Lecture 8: Large-N Expansion as a String Theory, Part I
  9. 9 Lecture 9: Large-N expansion as a String Theory, Part II
  10. 10 Lecture 10: Basics of String Theory and Light-cone Gauge
  11. 11 Lecture 11: String Theory in the Light-Cone Gauge
  12. 12 Lecture 12: String Spectrum and Graviton
  13. 13 Lecture 13: Physics of D-branes, Part I
  14. 14 Lecture 14: Physics of D-branes, Part II
  15. 15 Lecture 15: Physics of D-branes, Part III
  16. 16 Lecture 16: Geometry of D-branes and AdS / CFT Conjecture
  17. 17 Lecture 17: More on AdS / CFT Duality
  18. 18 Lecture 18: General Aspects of the Duality
  19. 19 Lecture 19: Mass-dimension Relation
  20. 20 Lecture 20: Euclidean Correlation Functions: Two-point Functions
  21. 21 Lecture 21: Euclidean Correlation Functions: Higher-point Functions
  22. 22 Lecture 22: Computation of the Wilson Loop
  23. 23 Lecture 23: Duality at a Finite Temperature and Finite Chemical Potential
  24. 24 Lecture 24: Holographic Entanglement Entropy

Course materials