Holography in Quantum Gravity 黑洞是个热力学体系， 是理解量子引力的窗口 hk T= 2T Area S= (Hawking,1974) (Bekenstein,1973) 4Gh (G.'t Hooft,1993)(L.Susskind,1994) two-dimensional bounding surface apparently three-dimensional universe
Holography in Quantum Gravity (G. ‘t Hooft, 1993) ( L. Susskind, 1994) S = Area 4G~ ⿊洞是个热⼒学体系, 是理解量⼦引⼒的窗⼝ T = ~ 2⇡ (Hawking,1974) (Bekenstein,1973)
A concrete version of Holographic Principle Anti-de Sitter/Conformal field theory correspondence(AdS/CFT) [Maldacena,1997] Gravity in anti-de Sitter space-time Conformal field theory
A concrete version of Holographic Principle Anti-de Sitter/Conformal field theory correspondence (AdS/CFT) [Maldacena, 1997] Gravity in anti-de Sitter space-time Conformal field theory
A concrete version of Holographic Principle Anti-de Sitter/Conformal field theory correspondence(AdS/CFT) Maldacena,1997] Gravity in anti-de Sitter space-time Conformal field theory ence "Real conceptual change in our thinking about Gravity' (E.Witten,Science 285 (1999)
A concrete version of Holographic Principle Anti-de Sitter/Conformal field theory correspondence (AdS/CFT) [Maldacena, 1997] Gravity in anti-de Sitter space-time Conformal field theory “Real conceptual change in our thinking about Gravity” (E. Witten, Science 285 (1999))
AdS/CFT applied to condensed matter Complicated strongly Simple coupled 个→ gravitational phenomena dynamics
AdS/CFT applied to condensed matter Complicated strongly coupled phenomena Simple gravitational dynamics
AdS/CFT applied to condensed matter Complicated strongly Simple coupled → gravitational phenomena dynamics Many phenomena observed in condensed matter systems can be studied by general relativity. ·Quantum critical point(2007） 。 Superconducting/superfluid phase transition(08) Fermi surface,non Fermi liquid(09) Lattice/impurity effect ('12)... [Son,Sachdev,Hartnoll,Horowitz,Herzog,H.Liu,McGreevy,Schalm, Zaanen,Tong,et al.]
AdS/CFT applied to condensed matter Many phenomena observed in condensed matter systems can be studied by general relativity. • Quantum critical point (2007) • Superconducting/superfluid phase transition (’08) • Fermi surface, non Fermi liquid (’09) • Lattice/impurity effect (’12)… Complicated strongly coupled phenomena Simple gravitational dynamics [Son, Sachdev, Hartnoll, Horowitz, Herzog, H.Liu, McGreevy, Schalm, Zaanen, Tong, et al.]