MaxPlanckInstitut für Gravitationsphysik, AlbertEinsteinInstitut  

Holography from field theories: a realization of AdS/CFT correspondence and beyond 
Starts at:  Tue 12 Feb 2019, 14:00  
Speaker:  Shinya Aoki  Institute:  YITP, Kyoto 
Abstract:  We argue that the AntideSitter (AdS) geometry in d+1 dimensions naturally emerges from an arbitrary conformal field theory in d dimensions using the free flow equation. We first show that an induced metric defined from the flowed field generally corresponds to the quantum information metric, called the Bures or Helstrom metric, if the flowed field is normalized appropriately. We next verify that the induced metric computed explicitly with the free flow equation always becomes the AdS metric when the theory is conformal. We also show that the conformal symmetry in d dimensions converts to the AdS isometry in d+1 dimensions after d dimensional quantum averaging. This guarantees the emergence of AdS geometry without explicit calculation. We finally discuss several extensions of this method.  
TexDocument  
Seminartype:  Ordinary  
Room:  Seminarraum 0.01  
Contact: Matthias Blittersdorf  