1. AdS/CFT-QCD-CMT Yi Yang @NCTU&NCTS NTHU April 8 th, 2010

2. Contents D-brane (1995) AdS/CFT (1997) AdS/QCD (2004) AdS/CMT (2008)

3. + + …  Perturbative Strings

4. Non-Perturbative Objects Solitions RR sources Ends of open strings D-branes (1995)

5. Branes Scenario

6. D3 branes and N charged D3-brane Extreme limit Near horizon

7. Open/Closed strings duality Open strings Closed strings

8. AdS/CFT in Type IIB AdS/CFT conjecture (1997) N=4 SYM in 3+1 IIB on The precise relationship (1998)

9. Holography

10. Strong/Weak duality Effective coupling: Small curvature for SG: Small coupling in SG:

11. Gravity/Gauge duality String theory Gauge theory IIB Strings on N=4 SYM Strings on deformed AdS strong coupling theory?

12. AdS/QCD (Sakai-Sugimoto Model) 0123456780 D4 ●●●●● D8-D8 ●●●●●●●●●

13. String Picture

14. Gravity Picture: Low T

15. Phase Transition

16. Gravity Picture: High T

17. QCD Phase Diagram

18. Baryons as Wrapped D-brane

19. AdS/CMT (Superconductor) Einstein-Maxwell-charged scalar Backreaction and probe Instability and symmetry breaking

20. Schwarzschild AdS Black Hole

21. Probe Fields Probe ansatz At horizon At boundary

22. Condensation

23. Hairy Black Hole 3 hairs scalar hair

24. Conductivity Fluctuations of gauge field At boundary AdS/CFT dictionary Ohm’s law

25. Gap

26. Magnetic Field Meissner effect Type I superconductor Type II superconductor

27. Other models Charged dilaton black hole Chern-Simon’s term Probe D-branes String background

28. Summary AdS/CFT (1997) AdS/QCD (2004) AdS/CMT (2008) AdS/??? (20XX)