Ads Cft

Black Holes · Part 3

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Table of Contents

  1. 1.The AdS/CFT Correspondence
  2. 2.Black Holes in AdS/CFT
  3. 3.Strominger-Vafa Microstate Counting
  4. 4.Hawking Radiation in AdS/CFT
  5. 5.Implications and Applications
  6. 6.Beyond AdS/CFT
  7. 7.Conclusion
  8. 8.Maldacena's Conjecture (1997)
  9. 9.Key Features
  10. 10.Bekenstein-Hawking Entropy from CFT

Key Equations

$$\text{String Theory on AdS}_5 \times S^5 \leftrightarrow \mathcal{N}=4 \text{ SYM in 4D}$$
$$\text{AdS Black Hole at temperature } T \leftrightarrow \text{CFT thermal state at temperature } T$$
$$S_{BH} = \frac{A}{4G} = S_{CFT}(T_H)$$
$$S_{micro} = 2\pi \sqrt{Q_1 Q_5 n}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Black Holes course on CoursesHub.World. Study the physics of black holes from Schwarzschild geometry to Hawking radiation. Covers rotating and charged black holes, thermodynamics, the information paradox, holographic principle, and astrophy...

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