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String Theory and Holographic Duality

Offered By: Massachusetts Institute of Technology via MIT OpenCourseWare

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Physics Courses Gravity Courses Theoretical Physics Courses String Theory Courses Black Hole Thermodynamics Courses Holographic Duality Courses

Course Description

Overview

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. 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.


Taught by

Prof. Hong Liu

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