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SUMMARY:Infinite-dimensional holography: bulk reconstruction\, relative en
 tropy\, and operator algebra - Monica Kang (CALTECH (California Institute 
 of Technology))
DTSTART:20231120T103000Z
DTEND:20231120T120000Z
UID:TALK204217@talks.cam.ac.uk
DESCRIPTION:I will first highlight the advantages of adopting an algebraic
  approach to understand the AdS/CFT correspondence\, emphasizing how the a
 lgebra of local operators of quantum field theory (QFT) encodes informatio
 n about spacetime regions. This approach proves particularly advantageous 
 for addressing realistic quantum field theories with infinite-dimensional 
 Hilbert spaces. I will rephrase bulk reconstruction and relative entropy c
 onservation in this algebraic framework\, and then utilize the framework t
 o show that they are equivalent. Notably\, I will explain the inherent err
 or-correcting properties that arise naturally within this framework and el
 aborate on the dictionary I am developing bridging operator algebra and ho
 lography. Furthermore\, I will explain how the framework can be expanded t
 o include non-perturbative gravitational corrections\; in this context app
 roximate bulk reconstruction incorporating gravitational errors can be und
 erstood through the lens of the privacy/correctability correspondence\, wh
 ich I will motivate. Finally\, I will underscore the effectiveness of this
  algebraic approach in understanding entanglement wedges in spacetime.
LOCATION:Seminar Room 2\, Newton Institute
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