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SUMMARY:Large N algebras and generalized entropy
DTSTART;VALUE=DATE-TIME:20220927T120000Z
DTEND;VALUE=DATE-TIME:20220927T140000Z
DTSTAMP;VALUE=DATE-TIME:20221207T025630Z
UID:indico-event-1194903@indico.cern.ch
DESCRIPTION:I will discuss recent work on studying operator algebras in se
miclassical gravity. In AdS/CFT\, for two-sided black holes\, the large N
limit of single-trace operators in the boundary CFT results in a type III
von Neumann algebra. Quantizing the relative timeshift between the two bou
ndaries and including this mode in the algebra promotes it to type II\, wh
ich allows the von Neumann entropy to be defined and calculated. I will fi
rst describe how this works for semiclassical perturbations around the mic
rocanonical TFD state\, and show that the von Neumann entropy agrees with
the generalized entropy of the black hole. I will then apply the formalism
to deSitter spacetime\, and discuss implications for the entropy of the s
tatic patch. \n\nhttps://indico.cern.ch/event/1194903/
LOCATION:CERN 4/2-037 - TH meeting room
URL:https://indico.cern.ch/event/1194903/
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