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SUMMARY:Holography from field theories and a realization of AdS/CFT corres
pondence
DTSTART;VALUE=DATE-TIME:20181220T023000Z
DTEND;VALUE=DATE-TIME:20181220T031000Z
DTSTAMP;VALUE=DATE-TIME:20190916T174449Z
UID:indico-contribution-12@cern.ch
DESCRIPTION:Speakers: Prof. AOKI\, Sinya ()\nI argue that the Anti-de-Sitt
er (AdS) geometry in $d+1$ dimensions naturally emerges from an arbitrary
conformal field theory in $d$ dimensions using the free flow equation. I f
irst show that an induced metric defined from the flowed field generally c
orresponds to the quantum information metric\, called the Bures or Helstro
m metric\, if the flowed field is normalized appropriately. I next verify
that the induced metric computed explicitly with the free flow equation al
ways becomes the AdS metric when the theory is conformal. I 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. I finally disc
uss several extensions of this method including the latest results.\n\nhtt
ps://conference-indico.kek.jp:443/indico/event/48/session/10/contribution/
12
LOCATION:Kenkyu-Honkan bldg. 1F Kobayashi Hall
URL:https://conference-indico.kek.jp:443/indico/event/48/session/10/contri
bution/12
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