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