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SUMMARY:Operator algebraic subregion duality for Klein-Gordon fields in an
 ti-de Sitter space - Jason Crann (Carleton University)
DTSTART:20241203T160000Z
DTEND:20241203T170000Z
UID:TALK218620@talks.cam.ac.uk
DESCRIPTION:Over the past decade\, perspectives from quantum information h
 ave shed valuable insight into the conjectured anti-de Sitter space/confor
 mal field theory (AdS/CFT) correspondence in high-energy physics. In parti
 cular\, a growing body of evidence suggests that (approximate) quantum err
 or correction could be a mechanism underlying the holographic corresponden
 ce: local bulk AdS observables are encoded as operator algebraic quantum e
 rror correcting codes on a subspace of the boundary CFT Hilbert space and 
 bulk AdS locality emerges from complementary recovery of the encoding boun
 dary algebras. Motivated by this theory and a recent conjecture of Bousso 
 et. al. on the bulk AdS description of boundary cocycle flow\, we characte
 rize (approximate) complementary recovery in terms of (approximate) intert
 wining of bulk and boundary cocycle derivatives. Using a recent framework 
 of Dybalski-Wrochna\, we then show that the aforementioned complementary r
 ecovery holds for Weyl algebras of Klein-Gordon fields in AdS wedges\, yie
 lding an operator algebraic version of subregion-subregion duality. Based 
 on joint work with Monica Jinwoo Kang.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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